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Solving system of ODE gets "ValueError"

asked 2017-07-16 01:16:48 +0100

xuesen_umd gravatar image

updated 2023-01-09 23:59:47 +0100

tmonteil gravatar image

I'm trying to solve a system of ODE using desolve_system but get "ValueError":

t=var('t'); f=function('f')(t); g=function('g')(t);
de1 = diff(f,t) == f*sin(t);
de2 = diff(g,t) == 0;
desolve_system([de1, de2], [f,g])

gets:

Traceback (click to the left of this block for traceback)
...
ValueError: The name "+" is not a valid Python identifier

the problem seems to be sin(t) factor, without it the system solves with no problem. Also desolve(de1, f) has no problem. What is going on here?

Thanks in advance!

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Comments

Your equations are independent. Note that solving the equation one by one does work

sage: desolve(de1, f)
_C*e^(-cos(t))
sage: desolve(de2, g)
_C
vdelecroix gravatar imagevdelecroix ( 2017-07-16 13:11:19 +0100 )edit

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answered 2017-07-16 19:48:14 +0100

vdelecroix gravatar image

The problem comes from the fact that Sage is not able to understand Maxima's answer

f(_SAGE_VAR_t) = ilt((%i laplace(f(_SAGE_VAR_t), _SAGE_VAR_t, g2579 + %i)
 - %i laplace(f(_SAGE_VAR_t), _SAGE_VAR_t, g2579 - %i) + 2 f(0))/(2 g2579), g2579, _SAGE_VAR_t)

I opened the ticket #23445 to track the issue.

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Asked: 2017-07-16 01:16:07 +0100

Seen: 372 times

Last updated: Jul 16 '17