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Question: PDEtools/NumerDenom internal error when calling odetest

Question:PDEtools/NumerDenom internal error when calling odetest

nm 9934 Maple 2024
differential-equations odetest
September 04 2024
1

I was trying to odetest one of my solutions to this ode when I got this internal Maple error I have not seen before.

Is this a legitimate error? my solution could be wrong ofcourse but strange to get internal error in this case.

Does this happen on earlier versions of Maple?

> 

interface(version);

`Standard Worksheet Interface, Maple 2024.1, Windows 10, June 25 2024 Build ID 1835466`

> 

Physics:-Version();

`The "Physics Updates" version in the MapleCloud is 1798 and is the same as the version installed in this computer, created 2024, August 29, 14:22 hours Pacific Time.`

> 

libname;

"C:\Users\Owner\maple\toolbox\2024\Physics Updates\lib", "C:\Program Files\Maple 2024\lib"

> 

restart;
> 

sol:=Intat(1/(u^n/((1/((a*g(x)+b)^n)/(f(x)^n)*diff(g(x),x)*f(x))^(-n-1))/((f(x)*diff(g(x),x))^(-2*n+1))/((1/((a*g(x)+b)^n)/(f(x)^n)*diff(g(x),x)*f(x)*(diff(f(x),x)*diff(g(x),x)+f(x)*diff(diff(g(x),x),x))-(-1/((a*g(x)+b)^n)/(f(x)^n)*diff(g(x),x)^2*f(x)*n*a/(a*g(x)+b)-1/((a*g(x)+b)^n)/(f(x)^n)*diff(g(x),x)*n*diff(f(x),x)+1/((a*g(x)+b)^n)/(f(x)^n)*diff(diff(g(x),x),x)*f(x)+1/((a*g(x)+b)^n)/(f(x)^n)*diff(g(x),x)*diff(f(x),x))*f(x)*diff(g(x),x)-f(x)*diff(f(x),x)/((a*g(x)+b)^n)/(f(x)^n)*diff(g(x),x)^2*n)^n)/(n^(-n))-u+1),u = a/f(x)/(a*g(x)+b)*y(x))-ln(a*g(x)+b)+_C1 = 0;

Intat(1/(u^n/(((diff(g(x), x))*f(x)/((a*g(x)+b)^n*f(x)^n))^(-n-1)*(f(x)*(diff(g(x), x)))^(-2*n+1)*((diff(g(x), x))*f(x)*((diff(f(x), x))*(diff(g(x), x))+f(x)*(diff(diff(g(x), x), x)))/((a*g(x)+b)^n*f(x)^n)-(-(diff(g(x), x))^2*f(x)*n*a/((a*g(x)+b)^n*f(x)^n*(a*g(x)+b))-(diff(g(x), x))*n*(diff(f(x), x))/((a*g(x)+b)^n*f(x)^n)+(diff(diff(g(x), x), x))*f(x)/((a*g(x)+b)^n*f(x)^n)+(diff(g(x), x))*(diff(f(x), x))/((a*g(x)+b)^n*f(x)^n))*f(x)*(diff(g(x), x))-f(x)*(diff(f(x), x))*(diff(g(x), x))^2*n/((a*g(x)+b)^n*f(x)^n))^n*n^(-n))-u+1), u = a*y(x)/(f(x)*(a*g(x)+b)))-ln(a*g(x)+b)+_C1 = 0

> 

ode:=diff(y(x),x)-f(x)^(1-n)*diff(g(x),x)*y(x)^n/((a*g(x)+b)^n)-diff(f(x),x)*y(x)/f(x)-f(x)*diff(g(x),x) = 0;

diff(y(x), x)-f(x)^(1-n)*(diff(g(x), x))*y(x)^n/(a*g(x)+b)^n-(diff(f(x), x))*y(x)/f(x)-f(x)*(diff(g(x), x)) = 0

> 

odetest(sol,ode,y(x));

Error, (in PDEtools/NumerDenom) invalid input: PDEtools/NumerDenom expects its 1st argument, ee, to be of type Or(algebraic,table,rtable), but received {Intat(1/(u^n*(f(x)^(1-n)*diff(g(x),x)*(a*g(x)+b)^(-n))^n*(f(x)*diff(g(x),x))^(2*n)*n^n-u*(a*g(x)+b)^n*f(x)^n*(a*n*f(x)^(2-n)*diff(g(x),x)^3*(a*g(x)+b)^(-n-1))^n+(a*g(x)+b)^n*f(x)^n*(a*n*f(x)^(2-n)*diff(g(x),x)^3*(a*g(x)+b)^(-n-1))^n),u = _Z) = Intat(1/(u^n*(f(x)^(1-n)*diff(g(x),x)*(a*g(x)+b)^(-n))^n*(f(x)*diff(g(x),x))^(2*n)*n^n-u*(a*g(x)+b)^n*f(x)^n*(a*n*f(x)^(2-n)*diff(g(x),x)^3*(a*g(x)+b)^(-n-1))^n+(a*g(x)+b)^n*f(x)^n*(a*n*f(x)^(2-n)*diff(g(x),x)^3*(a*g(x)+b)^(-n-1))^n),u = _Z)}

 

 

Download internal_error_PDEtools_NumerDenom_sept_4_2024.mw
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