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[Axiom-developer] 20071005.04.tpd.patch
|
From: |
daly |
|
Subject: |
[Axiom-developer] 20071005.04.tpd.patch |
|
Date: |
Fri, 5 Oct 2007 18:06:45 -0500 |
This patch adds Axiom regression tests of Kamke ODE 251-300
=====================================================================
diff --git a/changelog b/changelog
index 666bd42..916c822 100644
--- a/changelog
+++ b/changelog
@@ -1,3 +1,5 @@
+20071005 tpd src/input/Makefile kamke5.input regression test added
+20071005 tpd src/input/kamke5.input ODE regression test added
20071005 tpd src/input/Makefile kamke4.input regression test added
20071005 tpd src/input/kamke4.input ODE regression test added
20071005 tpd src/input/Makefile kamke3.input regression test added
diff --git a/src/input/Makefile.pamphlet b/src/input/Makefile.pamphlet
index b803938..1d2626f 100644
--- a/src/input/Makefile.pamphlet
+++ b/src/input/Makefile.pamphlet
@@ -323,7 +323,7 @@ REGRES= algaggr.regress algbrbf.regress algfacob.regress
alist.regress \
iprntpk.regress \
ipftest.regress is.regress isprime.regress kafile.regress \
kamke0.regress kamke1.regress kamke2.regress kamke3.regress \
- kamke4.regress \
+ kamke4.regress kamke5.regress \
kernel.regress knot2.regress kovacic.regress kuipers.regress \
laplace.regress leg.regress limit.regress lindep.regress \
list.regress lode.regress lodesys.regress lodo1.regress \
@@ -564,6 +564,7 @@ FILES= ${OUT}/algaggr.input ${OUT}/algbrbf.input
${OUT}/algfacob.input \
${OUT}/ipftest.input ${OUT}/is.input ${OUT}/isprime.input \
${OUT}/kafile.input ${OUT}/kamke0.input ${OUT}/kamke1.input \
${OUT}/kamke2.input ${OUT}/kamke3.input ${OUT}/kamke4.input \
+ ${OUT}/kamke5.input \
${OUT}/kernel.input ${OUT}/knot.input \
${OUT}/kovacic.input ${OUT}/kuipers.input \
${OUT}/laplace.input ${OUT}/leg.input ${OUT}/lexp.input \
@@ -831,7 +832,7 @@ DOCFILES= \
${DOC}/isprime.input.dvi ${DOC}/kafile.input.dvi \
${DOC}/kamke0.input.dvi ${DOC}/kamke1.input.dvi \
${DOC}/kamke2.input.dvi ${DOC}/kamke3.input.dvi \
- ${DOC}/kamke4.input.dvi \
+ ${DOC}/kamke4.input.dvi ${DOC}/kamke5.input.dvi \
${DOC}/kernel.input.dvi ${DOC}/knot2.input.dvi \
${DOC}/knot.input.dvi ${DOC}/knownbugs.input.dvi \
${DOC}/kovacic.input.dvi ${DOC}/kuipers.input.dvi \
diff --git a/src/input/kamke5.input.pamphlet b/src/input/kamke5.input.pamphlet
new file mode 100644
index 0000000..34a8ee0
--- /dev/null
+++ b/src/input/kamke5.input.pamphlet
@@ -0,0 +1,1634 @@
+\documentclass{article}
+\usepackage{axiom}
+\begin{document}
+\title{\$SPAD/src/input kamke5.input}
+\author{Timothy Daly}
+\maketitle
+\begin{abstract}
+This is the 251-300 of the Kamke test suite as published by
+E. S. Cheb-Terrab\cite{1}. They have been rewritten using Axiom
+syntax. Where possible we show that the particular solution actually
+satisfies the original ordinary differential equation.
+\end{abstract}
+\eject
+\tableofcontents
+\eject
+<<*>>=
+)spool kamke5.output
+)set break resume
+)set mes auto off
+)clear all
+
+--S 1 of 130
+y:=operator 'y
+--R
+--R
+--R (1) y
+--R Type:
BasicOperator
+--E 1
+
+--S 2 of 130
+f:=operator 'f
+--R
+--R
+--R (2) f
+--R Type:
BasicOperator
+--E 2
+
+--S 3 of 130
+f0:=operator 'f0
+--R
+--R
+--R (3) f0
+--R Type:
BasicOperator
+--E 3
+
+--S 4 of 130
+f1:=operator 'f1
+--R
+--R
+--R (4) f1
+--R Type:
BasicOperator
+--E 4
+
+--S 5 of 130
+f2:=operator 'f2
+--R
+--R
+--R (5) f2
+--R Type:
BasicOperator
+--E 5
+
+--S 6 of 130
+f3:=operator 'f3
+--R
+--R
+--R (6) f3
+--R Type:
BasicOperator
+--E 6
+
+--S 7 of 130
+g:=operator 'g
+--R
+--R
+--R (7) g
+--R Type:
BasicOperator
+--E 7
+
+--S 8 of 130
+g0:=operator 'g0
+--R
+--R
+--R (8) g0
+--R Type:
BasicOperator
+--E 8
+
+--S 9 of 130
+g1:=operator 'g1
+--R
+--R
+--R (9) g1
+--R Type:
BasicOperator
+--E 9
+
+--S 10 of 130
+h:=operator 'h
+--R
+--R
+--R (10) h
+--R Type:
BasicOperator
+--E 10
+
+--S 11 of 130
+ode251 := (x**2*y(x)-1)*D(y(x),x)+x*y(x)**2-1
+--R
+--R
+--R 2 , 2
+--R (11) (x y(x) - 1)y (x) + x y(x) - 1
+--R
+--R Type: Expression
Integer
+--E 11
+
+--S 12 of 130
+yx:=solve(ode251,y,x)
+--R
+--R
+--R 2 2
+--R x y(x) - 2y(x) - 2x
+--R (12) --------------------
+--R 2
+--R Type: Union(Expression
Integer,...)
+--E 12
+
+--S 13 of 130
+ode251expr := (x**2*yx-1)*D(yx,x)+x*yx**2-1
+--R
+--R
+--R (13)
+--R 6 3 4 2 5 3 , 5 4 3 3
+--R (2x y(x) - 6x y(x) - 4x y(x) + 4x + 4)y (x) + 3x y(x) - 8x y(x)
+--R
+--R +
+--R 4 2 2 3
+--R - 10x y(x) + 12x y(x) + 8x
+--R /
+--R 4
+--R Type: Expression
Integer
+--E 13
+
+--S 14 of 130
+ode252 := (x**2*y(x)-1)*D(y(x),x)-(x*y(x)**2-1)
+--R
+--R
+--R 2 , 2
+--R (14) (x y(x) - 1)y (x) - x y(x) + 1
+--R
+--R Type: Expression
Integer
+--E 14
+
+--S 15 of 130
+solve(ode252,y,x)
+--R
+--R
+--R (15) "failed"
+--R Type:
Union("failed",...)
+--E 15
+
+--S 16 of 130
+ode253 := (x**2*y(x)-1)*D(y(x),x)+8*(x*y(x)**2-1)
+--R
+--R
+--R 2 , 2
+--R (16) (x y(x) - 1)y (x) + 8x y(x) - 8
+--R
+--R Type: Expression
Integer
+--E 16
+
+--S 17 of 130
+solve(ode253,y,x)
+--R
+--R
+--R (17) "failed"
+--R Type:
Union("failed",...)
+--E 17
+
+--S 18 of 130
+ode254 := x*(x*y(x)-2)*D(y(x),x)+x**2*y(x)**3+x*y(x)**2-2*y(x)
+--R
+--R
+--R 2 , 2 3 2
+--R (18) (x y(x) - 2x)y (x) + x y(x) + x y(x) - 2y(x)
+--R
+--R Type: Expression
Integer
+--E 18
+
+--S 19 of 130
+solve(ode254,y,x)
+--R
+--R
+--R (19) "failed"
+--R Type:
Union("failed",...)
+--E 19
+
+--S 20 of 130
+ode255 := x*(x*y(x)-3)*D(y(x),x)+x*y(x)**2-y(x)
+--R
+--R
+--R 2 , 2
+--R (20) (x y(x) - 3x)y (x) + x y(x) - y(x)
+--R
+--R Type: Expression
Integer
+--E 20
+
+--S 21 of 130
+solve(ode255,y,x)
+--R
+--R
+--R (21) "failed"
+--R Type:
Union("failed",...)
+--E 21
+
+--S 22 of 130
+ode256 := x**2*(y(x)-1)*D(y(x),x)+(x-1)*y(x)
+--R
+--R
+--R 2 2 ,
+--R (22) (x y(x) - x )y (x) + (x - 1)y(x)
+--R
+--R Type: Expression
Integer
+--E 22
+
+--S 23 of 130
+solve(ode256,y,x)
+--R
+--R
+--R (23) "failed"
+--R Type:
Union("failed",...)
+--E 23
+
+--S 24 of 130
+ode257 := x*(x*y(x)+x**4-1)*D(y(x),x)-y(x)*(x*y(x)-x**4-1)
+--R
+--R
+--R 2 5 , 2 4
+--R (24) (x y(x) + x - x)y (x) - x y(x) + (x + 1)y(x)
+--R
+--R Type: Expression
Integer
+--E 24
+
+--S 25 of 130
+solve(ode257,y,x)
+--R
+--R
+--R (25) "failed"
+--R Type:
Union("failed",...)
+--E 25
+
+--S 26 of 130
+ode258 := 2*x**2*y(x)*D(y(x),x)+y(x)**2-2*x**3-x**2
+--R
+--R
+--R 2 , 2 3 2
+--R (26) 2x y(x)y (x) + y(x) - 2x - x
+--R
+--R Type: Expression
Integer
+--E 26
+
+--S 27 of 130
+yx:=solve(ode258,y,x)
+--R
+--R
+--R 1
+--R - -
+--R 2 2 x
+--R (27) (y(x) - x )%e
+--R Type: Union(Expression
Integer,...)
+--E 27
+
+--S 28 of 130
+ode258expr := 2*x**2*yx*D(yx,x)+yx**2-2*x**3-x**2
+--R
+--R
+--R (28)
+--R 1 2
+--R - -
+--R 2 3 4 x ,
+--R (4x y(x) - 4x y(x))(%e ) y (x)
+--R
+--R +
+--R 1 2
+--R - -
+--R 4 3 2 2 5 4 x 3 2
+--R (3y(x) + (- 4x - 6x )y(x) + 4x + 3x )(%e ) - 2x - x
+--R Type: Expression
Integer
+--E 28
+
+--S 29 of 130
+ode259 := 2*x**2*y(x)*D(y(x),x)-y(x)**2-x**2*exp(x-1/x)
+--R
+--R
+--R 2
+--R x - 1
+--R ------
+--R 2 , 2 x 2
+--R (29) 2x y(x)y (x) - x %e - y(x)
+--R
+--R Type: Expression
Integer
+--E 29
+
+--S 30 of 130
+yx:=solve(ode259,y,x)
+--R
+--R
+--R 2
+--R 1 x - 1 1
+--R - ------ -
+--R x x 2 x
+--R (30) - %e %e + y(x) %e
+--R Type: Union(Expression
Integer,...)
+--E 30
+
+--S 31 of 130
+ode259expr := 2*x**2*yx*D(yx,x)-yx**2-x**2*exp(x-1/x)
+--R
+--R
+--R (31)
+--R 2
+--R 1 2 x - 1 1 2
+--R - ------ -
+--R 2 x x 2 3 x ,
+--R (- 4x y(x)(%e ) %e + 4x y(x) (%e ) )y (x)
+--R
+--R +
+--R 2 2 2
+--R 1 2 x - 1 1 2 x - 1
+--R - ------ - ------
+--R 2 x x 2 2 x 2 x
+--R (2x - 1)(%e ) (%e ) + ((- 2x + 4)y(x) (%e ) - x )%e
+--R +
+--R 1 2
+--R -
+--R 4 x
+--R - 3y(x) (%e )
+--R Type: Expression
Integer
+--E 31
+
+--S 32 of 130
+ode260 := (2*x**2*y(x)+x)*D(y(x),x)-x**2*y(x)**3+2*x*y(x)**2+y(x)
+--R
+--R
+--R 2 , 2 3 2
+--R (32) (2x y(x) + x)y (x) - x y(x) + 2x y(x) + y(x)
+--R
+--R Type: Expression
Integer
+--E 32
+
+--S 33 of 130
+solve(ode260,y,x)
+--R
+--R
+--R (33) "failed"
+--R Type:
Union("failed",...)
+--E 33
+
+--S 34 of 130
+ode261 := (2*x**2*y(x)-x)*D(y(x),x)-2*x*y(x)**2-y(x)
+--R
+--R
+--R 2 , 2
+--R (34) (2x y(x) - x)y (x) - 2x y(x) - y(x)
+--R
+--R Type: Expression
Integer
+--E 34
+
+--S 35 of 130
+solve(ode261,y,x)
+--R
+--R
+--R (35) "failed"
+--R Type:
Union("failed",...)
+--E 35
+
+--S 36 of 130
+ode262 := (2*x**2*y(x)-x**3)*D(y(x),x)+y(x)**3-4*x*y(x)**2+2*x**3
+--R
+--R
+--R 2 3 , 3 2 3
+--R (36) (2x y(x) - x )y (x) + y(x) - 4x y(x) + 2x
+--R
+--R Type: Expression
Integer
+--E 36
+
+--S 37 of 130
+solve(ode262,y,x)
+--R
+--R
+--R (37) "failed"
+--R Type:
Union("failed",...)
+--E 37
+
+--S 38 of 130
+ode263 := 2*x**3+y(x)*D(y(x),x)+3*x**2*y(x)**2+7
+--R
+--R
+--R , 2 2 3
+--R (38) y(x)y (x) + 3x y(x) + 2x + 7
+--R
+--R Type: Expression
Integer
+--E 38
+
+--S 39 of 130
+solve(ode263,y,x)
+--R
+--R
+--R x 3
+--I ++ 2 2 3 2%K
+--I (39) | (3%K y(x) + 2%K + 7)%e d%K
+--R ++
+--R Type: Union(Expression
Integer,...)
+--E 39
+
+--S 40 of 130
+ode264 := 2*x*(x**3*y(x)+1)*D(y(x),x)+(3*x**3*y(x)-1)*y(x)
+--R
+--R
+--R 4 , 3 2
+--R (40) (2x y(x) + 2x)y (x) + 3x y(x) - y(x)
+--R
+--R Type: Expression
Integer
+--E 40
+
+--S 41 of 130
+solve(ode264,y,x)
+--R
+--R
+--R (41) "failed"
+--R Type:
Union("failed",...)
+--E 41
+
+--S 42 of 130
+ode265 := (x**(n*(n+1))*y(x)-1)*D(y(x),x)+2*(n+1)**2*x**(n-1)_
+ *(x**(n**2)*y(x)**2-1)
+--R
+--R
+--R (42)
+--R 2 2
+--R n + n , 2 2 n - 1 n
+--R (y(x)x - 1)y (x) + (2n + 4n + 2)y(x) x x
+--R
+--R +
+--R 2 n - 1
+--R (- 2n - 4n - 2)x
+--R Type: Expression
Integer
+--E 42
+
+--S 43 of 130
+solve(ode265,y,x)
+--R
+--R
+--R (43) "failed"
+--R Type:
Union("failed",...)
+--E 43
+
+--S 44 of 130
+ode266 := (y(x)-x)*sqrt(x**2+1)*D(y(x),x)-a*sqrt((y(x)**2+1)**3)
+--R
+--R
+--R +------+ +---------------------------+
+--R | 2 , | 6 4 2
+--R (44) (y(x) - x)\|x + 1 y (x) - a\|y(x) + 3y(x) + 3y(x) + 1
+--R
+--R Type: Expression
Integer
+--E 44
+
+--S 45 of 130
+solve(ode266,y,x)
+--R
+--R
+--R (45) "failed"
+--R Type:
Union("failed",...)
+--E 45
+
+--S 46 of 130
+ode267 := y(x)*D(y(x),x)*sin(x)**2+y(x)**2*cos(x)*sin(x)-1
+--R
+--R
+--R 2 , 2
+--R (46) y(x)sin(x) y (x) + y(x) cos(x)sin(x) - 1
+--R
+--R Type: Expression
Integer
+--E 46
+
+--S 47 of 130
+yx:=solve(ode267,y,x)
+--R
+--R
+--R 2 2
+--R y(x) sin(x) - 2x
+--R (47) -----------------
+--R 2
+--R Type: Union(Expression
Integer,...)
+--E 47
+
+--S 48 of 130
+ode267expr := yx*D(yx,x)*sin(x)**2+yx**2*cos(x)*sin(x)-1
+--R
+--R
+--R (48)
+--R 3 6 4 , 4 5
+--R (2y(x) sin(x) - 4x y(x)sin(x) )y (x) + 3y(x) cos(x)sin(x)
+--R
+--R +
+--R 2 4 2 3 2 2
+--R - 2y(x) sin(x) - 8x y(x) cos(x)sin(x) + 4x sin(x) + 4x cos(x)sin(x)
- 4
+--R /
+--R 4
+--R Type: Expression
Integer
+--E 48
+
+--S 49 of 130
+ode268 := f(x)*y(x)*D(y(x),x)+g(x)*y(x)**2+h(x)
+--R
+--R
+--R , 2
+--R (49) f(x)y(x)y (x) + g(x)y(x) + h(x)
+--R
+--R Type: Expression
Integer
+--E 49
+
+--S 50 of 130
+solve(ode268,y,x)
+--R
+--R
+--R >> Error detected within library code:
+--R Function not supported by Risch d.e.
+--R
+--R Continuing to read the file...
+--R
+--E 50
+
+--S 51 of 130
+ode269 := (g1(x)*y(x)+g0(x))*D(y(x),x)-f1(x)*y(x)-_
+ f2(x)*y(x)**2-f3(x)*y(x)**3-f0(x)
+--R
+--R
+--R (50)
+--R , 3 2
+--R (g1(x)y(x) + g0(x))y (x) - f3(x)y(x) - f2(x)y(x) - f1(x)y(x) - f0(x)
+--R
+--R Type: Expression
Integer
+--E 51
+
+--S 52 of 130
+solve(ode269,y,x)
+--R
+--R
+--R (51) "failed"
+--R Type:
Union("failed",...)
+--E 52
+
+--S 53 of 130
+ode270 := (y(x)**2-x)*D(y(x),x)-y(x)+x**2
+--R
+--R
+--R 2 , 2
+--R (52) (y(x) - x)y (x) - y(x) + x
+--R
+--R Type: Expression
Integer
+--E 53
+
+--S 54 of 130
+yx:=solve(ode270,y,x)
+--R
+--R
+--R 3 3
+--R y(x) - 3x y(x) + x
+--R (53) --------------------
+--R 3
+--R Type: Union(Expression
Integer,...)
+--E 54
+
+--S 55 of 130
+ode270expr := (yx**2-x)*D(yx,x)-yx+x**2
+--R
+--R
+--R (54)
+--R 8 6 3 5 2 4 4 3
+--R y(x) - 7x y(x) + 2x y(x) + 15x y(x) - 8x y(x)
+--R +
+--R 6 3 2 5 7 2
+--R (x - 9x - 9x)y(x) + 6x y(x) - x + 9x
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 7 2 6 5 3 4 5 2 3
+--R - y(x) + x y(x) + 6x y(x) - 8x y(x) + (2x - 9x - 3)y(x)
+--R +
+--R 4 2 6 8 3 2
+--R 15x y(x) + (- 7x + 18x)y(x) + x - 12x + 9x
+--R /
+--R 9
+--R Type: Expression
Integer
+--E 55
+
+--S 56 of 130
+ode271 := (y(x)**2+x**2)*D(y(x),x)+2*x*(y(x)+2*x)
+--R
+--R
+--R 2 2 , 2
+--R (55) (y(x) + x )y (x) + 2x y(x) + 4x
+--R
+--R Type: Expression
Integer
+--E 56
+
+--S 57 of 130
+yx:=solve(ode271,y,x)
+--R
+--R
+--R 3 2 3
+--R y(x) + 3x y(x) + 4x
+--R (56) ---------------------
+--R 3
+--R Type: Union(Expression
Integer,...)
+--E 57
+
+--S 58 of 130
+ode271expr := (yx**2+x**2)*D(yx,x)+2*x*(yx+2*x)
+--R
+--R
+--R (57)
+--R 8 2 6 3 5 4 4 5 3
+--R y(x) + 7x y(x) + 8x y(x) + 15x y(x) + 32x y(x)
+--R +
+--R 6 2 2 7 8 4
+--R (25x + 9x )y(x) + 24x y(x) + 16x + 9x
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 7 2 6 3 5 4 4 5 3
+--R 2x y(x) + 4x y(x) + 12x y(x) + 40x y(x) + (50x + 6x)y(x)
+--R +
+--R 6 2 7 3 8 4 2
+--R 84x y(x) + (128x + 36x )y(x) + 64x + 60x + 36x
+--R /
+--R 9
+--R Type: Expression
Integer
+--E 58
+
+--S 59 of 130
+ode272 := (y(x)**2+x**2)*D(y(x),x)-y(x)**2
+--R
+--R
+--R 2 2 , 2
+--R (58) (y(x) + x )y (x) - y(x)
+--R
+--R Type: Expression
Integer
+--E 59
+
+--S 60 of 130
+solve(ode272,y,x)
+--R
+--R
+--R (59) "failed"
+--R Type:
Union("failed",...)
+--E 60
+
+--S 61 of 130
+ode273 := (y(x)**2+x**2+a)*D(y(x),x)+2*x*y(x)
+--R
+--R
+--R 2 2 ,
+--R (60) (y(x) + x + a)y (x) + 2x y(x)
+--R
+--R Type: Expression
Integer
+--E 61
+
+--S 62 of 130
+yx:=solve(ode273,y,x)
+--R
+--R
+--R 3 2
+--R y(x) + (3x + 3a)y(x)
+--R (61) ----------------------
+--R 3
+--R Type: Union(Expression
Integer,...)
+--E 62
+
+--S 63 of 130
+ode273expr := (yx**2+x**2+a)*D(yx,x)+2*x*yx
+--R
+--R
+--R (62)
+--R 8 2 6 4 2 2 4
+--R y(x) + (7x + 7a)y(x) + (15x + 30a x + 15a )y(x)
+--R +
+--R 6 4 2 2 3 2 4 2
2
+--R (9x + 27a x + (27a + 9)x + 9a + 9a)y(x) + 9x + 18a x + 9a
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 7 3 5 5 3 2 3
+--R 2x y(x) + (12x + 12a x)y(x) + (18x + 36a x + (18a + 6)x)y(x)
+--R +
+--R 3
+--R (36x + 36a x)y(x)
+--R /
+--R 9
+--R Type: Expression
Integer
+--E 63
+
+--S 64 of 130
+ode274 := (y(x)**2+x**2+a)*D(y(x),x)+2*x*y(x)+x**2+b
+--R
+--R
+--R 2 2 , 2
+--R (63) (y(x) + x + a)y (x) + 2x y(x) + x + b
+--R
+--R Type: Expression
Integer
+--E 64
+
+--S 65 of 130
+yx:=solve(ode274,y,x)
+--R
+--R
+--R 3 2 3
+--R y(x) + (3x + 3a)y(x) + x + 3b x
+--R (64) ----------------------------------
+--R 3
+--R Type: Union(Expression
Integer,...)
+--E 65
+
+--S 66 of 130
+ode274expr := (yx**2+x**2+a)*D(yx,x)+2*x*yx+x**2+b
+--R
+--R
+--R (65)
+--R 8 2 6 3 5
+--R y(x) + (7x + 7a)y(x) + (2x + 6b x)y(x)
+--R +
+--R 4 2 2 4 5 3 3
+--R (15x + 30a x + 15a )y(x) + (8x + (24b + 8a)x + 24a b x)y(x)
+--R +
+--R 6 4 2 2 2 3 2
+--R (10x + (6b + 27a)x + (9b + 27a + 9)x + 9a + 9a)y(x)
+--R +
+--R 7 5 2 3 2 8
+--R (6x + (18b + 12a)x + (36a b + 6a )x + 18a b x)y(x) + x
+--R +
+--R 6 2 4 2 2 2
+--R (6b + a)x + (9b + 6a b + 9)x + (9a b + 18a)x + 9a
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 7 2 6 3 5
+--R 2x y(x) + (x + b)y(x) + (12x + 12a x)y(x)
+--R +
+--R 4 2 4
+--R (10x + (18b + 6a)x + 6a b)y(x)
+--R +
+--R 5 3 2 2 3
+--R (20x + (8b + 36a)x + (6b + 18a + 6)x)y(x)
+--R +
+--R 6 4 2 2 2 2
+--R (21x + (45b + 30a)x + (54a b + 9a )x + 9a b)y(x)
+--R +
+--R 7 5 2 3 2
8
+--R (8x + (36b + 6a)x + (36b + 24a b + 36)x + (18a b + 36a)x)y(x) +
x
+--R +
+--R 6 2 4 3 2
+--R 7b x + (15b + 15)x + (9b + 27b + 9a + 9)x + (9a + 9)b
+--R /
+--R 9
+--R Type: Expression
Integer
+--E 66
+
+--S 67 of 130
+ode275 := (y(x)**2+x**2+x)*D(y(x),x)-y(x)
+--R
+--R
+--R 2 2 ,
+--R (66) (y(x) + x + x)y (x) - y(x)
+--R
+--R Type: Expression
Integer
+--E 67
+
+--S 68 of 130
+solve(ode275,y,x)
+--R
+--R
+--R (67) "failed"
+--R Type:
Union("failed",...)
+--E 68
+
+--S 69 of 130
+ode276 := (y(x)**2-x**2)*D(y(x),x)+2*x*y(x)
+--R
+--R
+--R 2 2 ,
+--R (68) (y(x) - x )y (x) + 2x y(x)
+--R
+--R Type: Expression
Integer
+--E 69
+
+--S 70 of 130
+yx:=solve(ode276,y,x)
+--R
+--R
+--R 2 2
+--R y(x) + x
+--R (69) ----------
+--R y(x)
+--R Type: Union(Expression
Integer,...)
+--E 70
+
+--S 71 of 130
+ode276expr := (yx**2-x**2)*D(yx,x)+2*x*yx
+--R
+--R
+--R 6 6 , 5 3 3 5
+--R (y(x) - x )y (x) + 4x y(x) + 4x y(x) + 2x y(x)
+--R
+--R (70) -------------------------------------------------
+--R 4
+--R y(x)
+--R Type: Expression
Integer
+--E 71
+
+--S 72 of 130
+ode277 := (y(x)**2+x**4)*D(y(x),x)-4*x**3*y(x)
+--R
+--R
+--R 2 4 , 3
+--R (71) (y(x) + x )y (x) - 4x y(x)
+--R
+--R Type: Expression
Integer
+--E 72
+
+--S 73 of 130
+yx:=solve(ode277,y,x)
+--R
+--R
+--R 2 4
+--R y(x) - x
+--R (72) ----------
+--R y(x)
+--R Type: Union(Expression
Integer,...)
+--E 73
+
+--S 74 of 130
+ode277expr := (yx**2+x**4)*D(yx,x)-4*x**3*yx
+--R
+--R
+--R 6 12 , 3 5 7 3 11
+--R (y(x) + x )y (x) - 8x y(x) + 8x y(x) - 4x y(x)
+--R
+--R (73) ---------------------------------------------------
+--R 4
+--R y(x)
+--R Type: Expression
Integer
+--E 74
+
+--S 75 of 130
+ode278 := (y(x)**2+4*sin(x))*D(y(x),x)-cos(x)
+--R
+--R
+--R 2 ,
+--R (74) (4sin(x) + y(x) )y (x) - cos(x)
+--R
+--R Type: Expression
Integer
+--E 75
+
+--S 76 of 130
+yx:=solve(ode278,y,x)
+--R
+--R
+--R 2 - 4y(x)
+--R (- 32sin(x) - 8y(x) - 4y(x) - 1)%e
+--R (75) ------------------------------------------
+--R 32
+--R Type: Union(Expression
Integer,...)
+--E 76
+
+--S 77 of 130
+ode278expr := (yx**2+4*sin(x))*D(yx,x)-cos(x)
+--R
+--R
+--R (76)
+--R 3 2 2
+--R 4096sin(x) + (3072y(x) + 1024y(x) + 256)sin(x)
+--R +
+--R 4 3 2 6
+--R (768y(x) + 512y(x) + 192y(x) + 32y(x) + 4)sin(x) + 64y(x)
+--R +
+--R 5 4 3 2
+--R 64y(x) + 32y(x) + 8y(x) + y(x)
+--R *
+--R - 4y(x) 3
+--R (%e )
+--R +
+--R 2 2 - 4y(x)
+--R (16384sin(x) + 4096y(x) sin(x))%e
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 2 2
+--R - 1024cos(x)sin(x) + (- 512y(x) - 256y(x) - 64)cos(x)sin(x)
+--R +
+--R 4 3 2
+--R (- 64y(x) - 64y(x) - 32y(x) - 8y(x) - 1)cos(x)
+--R *
+--R - 4y(x) 3
+--R (%e )
+--R +
+--R - 4y(x)
+--R - 4096cos(x)sin(x)%e - 1024cos(x)
+--R /
+--R 1024
+--R Type: Expression
Integer
+--E 77
+
+--S 78 of 130
+ode279 := (y(x)**2+2*y(x)+x)*D(y(x),x)+(y(x)+x)**2*y(x)**2+y(x)*(y(x)+1)
+--R
+--R
+--R 2 , 4 3 2 2
+--R (77) (y(x) + 2y(x) + x)y (x) + y(x) + 2x y(x) + (x + 1)y(x) + y(x)
+--R
+--R Type: Expression
Integer
+--E 78
+
+--S 79 of 130
+solve(ode279,y,x)
+--R
+--R
+--R (78) "failed"
+--R Type:
Union("failed",...)
+--E 79
+
+--S 80 of 130
+ode280 := (y(x)+x)**2*D(y(x),x)-a**2
+--R
+--R
+--R 2 2 , 2
+--R (79) (y(x) + 2x y(x) + x )y (x) - a
+--R
+--R Type: Expression
Integer
+--E 80
+
+--S 81 of 130
+solve(ode280,y,x)
+--R
+--R
+--R (80) "failed"
+--R Type:
Union("failed",...)
+--E 81
+
+--S 82 of 130
+ode281 := (y(x)**2+2*x*y(x)-x**2)*D(y(x),x)-_
+ y(x)**2+2*x*y(x)+x**2
+--R
+--R
+--R 2 2 , 2 2
+--R (81) (y(x) + 2x y(x) - x )y (x) - y(x) + 2x y(x) + x
+--R
+--R Type: Expression
Integer
+--E 82
+
+--S 83 of 130
+solve(ode281,y,x)
+--R
+--R
+--R (82) "failed"
+--R Type:
Union("failed",...)
+--E 83
+
+--S 84 of 130
+ode282 := (y(x)+3*x-1)**2*D(y(x),x)-(2*y(x)-1)*(4*y(x)+6*x-3)
+--R
+--R
+--R (83)
+--R 2 2 , 2
+--R (y(x) + (6x - 2)y(x) + 9x - 6x + 1)y (x) - 8y(x) + (- 12x + 10)y(x)
+ 6x
+--R
+--R +
+--R - 3
+--R Type: Expression
Integer
+--E 84
+
+--S 85 of 130
+solve(ode282,y,x)
+--R
+--R
+--R (84) "failed"
+--R Type:
Union("failed",...)
+--E 85
+
+--S 86 of 130
+ode283 := 3*(y(x)**2-x**2)*D(y(x),x)+2*y(x)**3-6*x*(x+1)*y(x)-3*exp(x)
+--R
+--R
+--R 2 2 , x 3 2
+--R (85) (3y(x) - 3x )y (x) - 3%e + 2y(x) + (- 6x - 6x)y(x)
+--R
+--R Type: Expression
Integer
+--E 86
+
+--S 87 of 130
+yx:=solve(ode283,y,x)
+--R
+--R
+--R x 3 3 2 x 2
+--R (86) - (%e ) + (y(x) - 3x y(x))(%e )
+--R Type: Union(Expression
Integer,...)
+--E 87
+
+--S 88 of 130
+ode283expr := 3*(yx**2-x**2)*D(yx,x)+2*yx**3-6*x*(x+1)*yx-3*exp(x)
+--R
+--R
+--R (87)
+--R 2 2 x 8 5 2 3 4 x 7
+--R (9y(x) - 9x )(%e ) + (- 18y(x) + 72x y(x) - 54x y(x))(%e )
+--R +
+--R 8 2 6 4 4 6 2 x 6
+--R (9y(x) - 63x y(x) + 135x y(x) - 81x y(x) )(%e )
+--R +
+--R 2 2 4 x 2
+--R (- 9x y(x) + 9x )(%e )
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R x 9 3 2 x 8
+--R - 11(%e ) + (30y(x) + (- 90x - 18x)y(x))(%e )
+--R +
+--R 6 2 4 4 3 2 x 7
+--R (- 27y(x) + (162x + 36x)y(x) + (- 243x - 108x )y(x) )(%e )
+--R +
+--R 9 2 7 4 3 5
+--R 8y(x) + (- 72x - 18x)y(x) + (216x + 108x )y(x)
+--R +
+--R 6 5 3
+--R (- 216x - 162x )y(x)
+--R *
+--R x 6
+--R (%e )
+--R +
+--R 2 x 3 2 3 4 3 x 2
x
+--R (15x + 6x)(%e ) + ((- 12x - 6x)y(x) + (36x + 36x )y(x))(%e ) -
3%e
+--R Type: Expression
Integer
+--E 88
+
+--S 89 of 130
+ode284 := (4*y(x)**2+x**2)*D(y(x),x)-x*y(x)
+--R
+--R
+--R 2 2 ,
+--R (88) (4y(x) + x )y (x) - x y(x)
+--R
+--R Type: Expression
Integer
+--E 89
+
+--S 90 of 130
+yx:=solve(ode284,y,x)
+--R
+--R
+--R 2 2
+--R 8y(x) log(y(x)) - x
+--R (89) --------------------
+--R 2
+--R 2y(x)
+--R Type: Union(Expression
Integer,...)
+--E 90
+
+--S 91 of 130
+ode284expr := (4*yx**2+x**2)*D(yx,x)-x*yx
+--R
+--R
+--R (90)
+--R 6 2 4 2
+--R (512y(x) + 128x y(x) )log(y(x))
+--R +
+--R 2 4 4 2 2 6 4 4 4
2
+--R (- 128x y(x) - 32x y(x) )log(y(x)) + 8x y(x) + 2x y(x) + 8x
y(x)
+--R +
+--R 6
+--R 2x
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 5 2 7 3 3 3 5
+--R - 128x y(x) log(y(x)) + (- 8x y(x) + 32x y(x) )log(y(x)) - x y(x)
+--R +
+--R 5
+--R - 2x y(x)
+--R /
+--R 7
+--R 2y(x)
+--R Type: Expression
Integer
+--E 91
+
+--S 92 of 130
+ode285 := (4*y(x)**2+2*x*y(x)+3*x**2)*D(y(x),x)+y(x)**2+6*x*y(x)+2*x**2
+--R
+--R
+--R 2 2 , 2 2
+--R (91) (4y(x) + 2x y(x) + 3x )y (x) + y(x) + 6x y(x) + 2x
+--R
+--R Type: Expression
Integer
+--E 92
+
+--S 93 of 130
+yx:=solve(ode285,y,x)
+--R
+--R
+--R 3 2 2 3
+--R 4y(x) + 3x y(x) + 9x y(x) + 2x
+--R (92) ---------------------------------
+--R 3
+--R Type: Union(Expression
Integer,...)
+--E 93
+
+--S 94 of 130
+ode285expr := (4*yx**2+2*x*yx+3*x**2)*D(yx,x)+yx**2+6*x*yx+2*x**2
+--R
+--R
+--R (93)
+--R 8 7 2 6 3 5
+--R 256y(x) + 512x y(x) + 1680x y(x) + (2056x + 96x)y(x)
+--R +
+--R 4 2 4 5 3 3
+--R (3020x + 120x )y(x) + (2160x + 324x )y(x)
+--R +
+--R 6 4 2 2 7 5 3 8
+--R (1468x + 210x + 108x )y(x) + (464x + 186x + 54x )y(x) + 48x
+--R +
+--R 6 4
+--R 36x + 81x
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 8 7 2 6 3 5
+--R 64y(x) + 480x y(x) + (1028x + 16)y(x) + (2416x + 48x)y(x)
+--R +
+--R 4 2 4 5 3 3
+--R (2700x + 243x )y(x) + (2936x + 280x + 72x)y(x)
+--R +
+--R 6 4 2 2 7 5 3 8
6
+--R (1624x + 465x + 81x )y(x) + (384x + 216x + 324x )y(x) + 32x +
28x
+--R +
+--R 4 2
+--R 90x + 18x
+--R /
+--R 9
+--R Type: Expression
Integer
+--E 94
+
+--S 95 of 130
+ode286 := (2*y(x)-3*x+1)**2*D(y(x),x)-(3*y(x)-2*x-4)**2
+--R
+--R
+--R (94)
+--R 2 2 , 2
+--R (4y(x) + (- 12x + 4)y(x) + 9x - 6x + 1)y (x) - 9y(x) + (12x +
24)y(x)
+--R
+--R +
+--R 2
+--R - 4x - 16x - 16
+--R Type: Expression
Integer
+--E 95
+
+--S 96 of 130
+solve(ode286,y,x)
+--R
+--R
+--R (95) "failed"
+--R Type:
Union("failed",...)
+--E 96
+
+--S 97 of 130
+ode287 := (2*y(x)-4*x+1)**2*D(y(x),x)-(y(x)-2*x)**2
+--R
+--R
+--R (96)
+--R 2 2 , 2 2
+--R (4y(x) + (- 16x + 4)y(x) + 16x - 8x + 1)y (x) - y(x) + 4x y(x) - 4x
+--R
+--R Type: Expression
Integer
+--E 97
+
+--S 98 of 130
+solve(ode287,y,x)
+--R
+--R
+--R (97) "failed"
+--R Type:
Union("failed",...)
+--E 98
+
+--S 99 of 130
+ode288 := (6*y(x)**2-3*x**2*y(x)+1)*D(y(x),x)-3*x*y(x)**2+x
+--R
+--R
+--R 2 2 , 2
+--R (98) (6y(x) - 3x y(x) + 1)y (x) - 3x y(x) + x
+--R
+--R Type: Expression
Integer
+--E 99
+
+--S 100 of 130
+yx:=solve(ode288,y,x)
+--R
+--R
+--R 3 2 2 2
+--R 4y(x) - 3x y(x) + 2y(x) + x
+--R (99) ------------------------------
+--R 2
+--R Type: Union(Expression
Integer,...)
+--E 100
+
+--S 101 of 130
+ode288expr := (6*yx**2-3*x**2*yx+1)*D(yx,x)-3*x*yx**2+x
+--R
+--R
+--R (100)
+--R 8 2 7 4 6 6 2
5
+--R 576y(x) - 1152x y(x) + (756x + 672)y(x) + (- 162x - 720x
)y(x)
+--R +
+--R 4 4 6 2 3 4 2
+--R (90x + 240)y(x) + (54x - 48x )y(x) + (- 54x + 48)y(x) + 4
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 8 3 7 5 6 3 5
+--R - 288x y(x) + 432x y(x) + (- 162x - 240x)y(x) + 72x y(x)
+--R +
+--R 5 4 3 3 5
+--R (81x - 24x)y(x) - 72x y(x) - 3x + 8x
+--R /
+--R 4
+--R Type: Expression
Integer
+--E 101
+
+--S 102 of 130
+ode289 := (6*y(x)-x)**2*D(y(x),x)-6*y(x)**2+2*x*y(x)+a
+--R
+--R
+--R 2 2 , 2
+--R (101) (36y(x) - 12x y(x) + x )y (x) - 6y(x) + 2x y(x) + a
+--R
+--R Type: Expression
Integer
+--E 102
+
+--S 103 of 130
+yx:=solve(ode289,y,x)
+--R
+--R
+--R 3 2 2
+--R (102) 12y(x) - 6x y(x) + x y(x) + a x
+--R Type: Union(Expression
Integer,...)
+--E 103
+
+--S 104 of 130
+ode289expr := (6*yx-x)**2*D(yx,x)-6*yx**2+2*x*yx+a
+--R
+--R
+--R (103)
+--R 8 7 2 6
+--R 186624y(x) - 248832x y(x) + 145152x y(x)
+--R +
+--R 3 5
+--R (- 46656x + (31104a - 5184)x)y(x)
+--R +
+--R 4 2 4 5 3
3
+--R (8640x + (- 25920a + 4320)x )y(x) + (- 864x + (8640a - 1440)x
)y(x)
+--R +
+--R 6 4 2 2 2
+--R (36x + (- 1296a + 216)x + (1296a - 432a + 36)x )y(x)
+--R +
+--R 5 2 3 2 4
+--R ((72a - 12)x + (- 432a + 144a - 12)x )y(x) + (36a - 12a + 1)x
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 8 7 2 6
+--R - 31104y(x) + 41472x y(x) + (- 23328x + 5184a - 864)y(x)
+--R +
+--R 3 5 4 2 4
+--R (6912x + (- 10368a + 1728)x)y(x) + (- 1080x + (6480a - 1080)x )y(x)
+--R +
+--R 5 3 2 3
+--R (72x + (- 1728a + 288)x + (864a - 288a + 24)x)y(x)
+--R +
+--R 4 2 2 2 2 3
+--R ((180a - 30)x + (- 648a + 216a - 18)x )y(x) + (144a - 48a + 4)x
y(x)
+--R +
+--R 3 2 2
+--R (36a - 18a + 3a)x + a
+--R Type: Expression
Integer
+--E 104
+
+--S 105 of 130
+ode290 := (a*y(x)**2+2*b*x*y(x)+c*x**2)*D(y(x),x)+b*y(x)**2+2*c*x*y(x)+d*x**2
+--R
+--R
+--R 2 2 , 2 2
+--R (104) (a y(x) + 2b x y(x) + c x )y (x) + b y(x) + 2c x y(x) + d x
+--R
+--R Type: Expression
Integer
+--E 105
+
+--S 106 of 130
+yx:=solve(ode290,y,x)
+--R
+--R
+--R 3 2 2 3
+--R a y(x) + 3b x y(x) + 3c x y(x) + d x
+--R (105) ---------------------------------------
+--R 3
+--R Type: Union(Expression
Integer,...)
+--E 106
+
+--S 107 of 130
+ode290expr:=(a*yx**2+2*b*x*yx+c*x**2)*D(yx,x)+b*yx**2+2*c*x*yx+d*x**2
+--R
+--R
+--R (106)
+--R 4 8 3 7 3 2 2 2 6
+--R a y(x) + 8a b x y(x) + (7a c + 21a b )x y(x)
+--R +
+--R 3 2 3 3 2 5
+--R ((2a d + 36a b c + 18a b )x + 6a b x)y(x)
+--R +
+--R 2 2 2 2 4 2 2 4
+--R ((10a b d + 15a c + 45a b c)x + 30a b x )y(x)
+--R +
+--R 2 2 2 5 3 3 3
+--R (((8a c + 12a b )d + 36a b c )x + (24a b c + 36b )x )y(x)
+--R +
+--R 2 2 3 6 2 4 2
2
+--R ((a d + 18a b c d + 9a c )x + (6a b d + 54b c)x + 9a c x )y(x)
+--R +
+--R 2 2 7 2 2 5 3
2 8
+--R ((2a b d + 6a c d)x + (12b d + 18b c )x + 18b c x )y(x) + a c
d x
+--R +
+--R 6 2 4
+--R 6b c d x + 9c x
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 3 8 3 2 2 7
+--R a b y(x) + (2a c + 6a b )x y(x)
+--R +
+--R 3 2 3 2 2 6
+--R ((a d + 18a b c + 9a b )x + a b)y(x)
+--R +
+--R 2 2 2 2 3 2 5
+--R ((8a b d + 12a c + 36a b c)x + 12a b x)y(x)
+--R +
+--R 2 2 2 4 3 2 4
+--R (((10a c + 15a b )d + 45a b c )x + (18a b c + 27b )x )y(x)
+--R +
+--R 2 2 3 5 2 3 3
+--R ((2a d + 36a b c d + 18a c )x + (8a b d + 72b c)x + 6a c x)y(x)
+--R +
+--R 2 2 6 2 2 4 2 2
+--R ((7a b d + 21a c d)x + (30b d + 45b c )x + 27b c x )y(x)
+--R +
+--R 2 7 5 2 3 3 8 2 6 4
2
+--R (8a c d x + 36b c d x + 36c x )y(x) + a d x + 7b d x + 15c d x +
9d x
+--R /
+--R 9
+--R Type: Expression
Integer
+--E 107
+
+--S 108 of 130
+ode291 := (b*(beta*y(x)+alpha*x)**2-beta*(b*y(x)+a*x))*D(y(x),x)+_
+ a*(beta*y(x)+alpha*x)**2-alpha*(b*y(x)+a*x)
+--R
+--R
+--R (107)
+--R 2 2 2 2
+--R (b beta y(x) + (2alpha b beta x - b beta)y(x) + alpha b x - a beta
x)
+--R *
+--R ,
+--R y (x)
+--R
+--R +
+--R 2 2 2 2
+--R a beta y(x) + (2a alpha beta x - alpha b)y(x) + a alpha x - a alpha x
+--R Type: Expression
Integer
+--E 108
+
+--S 109 of 130
+solve(ode291,y,x)
+--R
+--R
+--R (108) "failed"
+--R Type:
Union("failed",...)
+--E 109
+
+--S 110 of 130
+ode292 := (a*y(x)+b*x+c)**2*D(y(x),x)+(alpha*y(x)+beta*x+gamma)**2
+--R
+--R
+--R (109)
+--R 2 2 2 2 2 , 2 2
+--R (a y(x) + (2a b x + 2a c)y(x) + b x + 2b c x + c )y (x) + alpha y(x)
+--R
+--R +
+--R 2 2 2
+--R (2alpha beta x + 2alpha gamma)y(x) + beta x + 2beta gamma x + gamma
+--R Type: Expression
Integer
+--E 110
+
+--S 111 of 130
+solve(ode292,y,x)
+--R
+--R
+--R (110) "failed"
+--R Type:
Union("failed",...)
+--E 111
+
+--S 112 of 130
+ode293 := x*(y(x)**2-3*x)*D(y(x),x)+2*y(x)**3-5*x*y(x)
+--R
+--R
+--R 2 2 , 3
+--R (111) (x y(x) - 3x )y (x) + 2y(x) - 5x y(x)
+--R
+--R Type: Expression
Integer
+--E 112
+
+--S 113 of 130
+solve(ode293,y,x)
+--R
+--R
+--R (112) "failed"
+--R Type:
Union("failed",...)
+--E 113
+
+--S 114 of 130
+ode294 := x*(y(x)**2+x**2-a)*D(y(x),x)-y(x)*(y(x)**2+x**2+a)
+--R
+--R
+--R 2 3 , 3 2
+--R (113) (x y(x) + x - a x)y (x) - y(x) + (- x - a)y(x)
+--R
+--R Type: Expression
Integer
+--E 114
+
+--S 115 of 130
+solve(ode294,y,x)
+--R
+--R
+--R (114) "failed"
+--R Type:
Union("failed",...)
+--E 115
+
+--S 116 of 130
+ode295 := x*(y(x)**2+x*y(x)-x**2)*D(y(x),x)-y(x)**3+x*y(x)**2+x**2*y(x)
+--R
+--R
+--R 2 2 3 , 3 2 2
+--R (115) (x y(x) + x y(x) - x )y (x) - y(x) + x y(x) + x y(x)
+--R
+--R Type: Expression
Integer
+--E 116
+
+--S 117 of 130
+solve(ode295,y,x)
+--R
+--R
+--R (116) "failed"
+--R Type:
Union("failed",...)
+--E 117
+
+--S 118 of 130
+ode296 := x*(y(x)**2+x**2*y(x)+x**2)*D(y(x),x)-2*y(x)**3-2*x**2*y(x)**2+x**4
+--R
+--R
+--R 2 3 3 , 3 2 2 4
+--R (117) (x y(x) + x y(x) + x )y (x) - 2y(x) - 2x y(x) + x
+--R
+--R Type: Expression
Integer
+--E 118
+
+--S 119 of 130
+solve(ode296,y,x)
+--R
+--R
+--R (118) "failed"
+--R Type:
Union("failed",...)
+--E 119
+
+--S 120 of 130
+ode297 := 2*x*(y(x)**2+5*x**2)*D(y(x),x)+y(x)**3-x**2*y(x)
+--R
+--R
+--R 2 3 , 3 2
+--R (119) (2x y(x) + 10x )y (x) + y(x) - x y(x)
+--R
+--R Type: Expression
Integer
+--E 120
+
+--S 121 of 130
+solve(ode297,y,x)
+--R
+--R
+--R (120) "failed"
+--R Type:
Union("failed",...)
+--E 121
+
+--S 122 of 130
+ode298 := 3*x*y(x)**2*D(y(x),x)+y(x)**3-2*x
+--R
+--R
+--R 2 , 3
+--R (121) 3x y(x) y (x) + y(x) - 2x
+--R
+--R Type: Expression
Integer
+--E 122
+
+--S 123 of 130
+yx:=solve(ode298,y,x)
+--R
+--R
+--R 3 2
+--R (122) x y(x) - x
+--R Type: Union(Expression
Integer,...)
+--E 123
+
+--S 124 of 130
+ode298expr := 3*x*yx**2*D(yx,x)+yx**3-2*x
+--R
+--R
+--R (123)
+--R 4 8 5 5 6 2 , 3 9 4 6 5
3
+--R (9x y(x) - 18x y(x) + 9x y(x) )y (x) + 4x y(x) - 15x y(x) + 18x
y(x)
+--R
+--R +
+--R 6
+--R - 7x - 2x
+--R Type: Expression
Integer
+--E 124
+
+--S 125 of 130
+ode299 := (3*x*y(x)**2-x**2)*D(y(x),x)+y(x)**3-2*x*y(x)
+--R
+--R
+--R 2 2 , 3
+--R (124) (3x y(x) - x )y (x) + y(x) - 2x y(x)
+--R
+--R Type: Expression
Integer
+--E 125
+
+--S 126 of 130
+yx:=solve(ode299,y,x)
+--R
+--R
+--R 3 2
+--R (125) x y(x) - x y(x)
+--R Type: Union(Expression
Integer,...)
+--E 126
+
+--S 127 of 130
+ode299expr := (3*x*yx**2-x**2)*D(yx,x)+yx**3-2*x*yx
+--R
+--R
+--R (126)
+--R 4 8 5 6 6 4 7 3 2 4 ,
+--R (9x y(x) - 21x y(x) + 15x y(x) + (- 3x - 3x )y(x) + x )y (x)
+--R
+--R +
+--R 3 9 4 7 5 5 6 2 3 3
+--R 4x y(x) - 15x y(x) + 18x y(x) + (- 7x - 3x )y(x) + 4x y(x)
+--R Type: Expression
Integer
+--E 127
+
+--S 128 of 130
+ode300 := 6*x*y(x)**2*D(y(x),x)+2*y(x)**3+x
+--R
+--R
+--R 2 , 3
+--R (127) 6x y(x) y (x) + 2y(x) + x
+--R
+--R Type: Expression
Integer
+--E 128
+
+--S 129 of 130
+yx:=solve(ode300,y,x)
+--R
+--R
+--R 3 2
+--R 4x y(x) + x
+--R (128) -------------
+--R 2
+--R Type: Union(Expression
Integer,...)
+--E 129
+
+--S 130 of 130
+ode300expr := 6*x*yx**2*D(yx,x)+2*yx**3+x
+--R
+--R
+--R (129)
+--R 4 8 5 5 6 2 , 3 9 4 6
+--R (576x y(x) + 288x y(x) + 36x y(x) )y (x) + 256x y(x) + 240x y(x)
+--R
+--R +
+--R 5 3 6
+--R 72x y(x) + 7x + 4x
+--R /
+--R 4
+--R Type: Expression
Integer
+--E 130
+
+)spool
+)lisp (bye)
+
+@
+\eject
+\begin{thebibliography}{99}
+\bibitem{1} {\bf http://www.cs.uwaterloo.ca/$\tilde{}$ecterrab/odetools.html}
+\end{thebibliography}
+\end{document}
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