#9421: desolve mixes user parameters and integration constants
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Reporter: zimmerma | Owner: burcin
Type: defect | Status: new
Priority: major | Milestone: sage-4.5
Component: calculus | Keywords:
Author: | Upstream: N/A
Reviewer: | Merged:
Work_issues: |
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Consider
{{{
sage: var('t')
sage: x=function('x',t)
sage: var('c')
sage: desolve(diff(x,t)+2*x==t^2-2*t+c,x,ivar=t).expand()
c*e^(-2*t) + 1/2*t^2 + 1/2*c - 3/2*t + 3/4
}}}
Here the first occurrence of {{{c}}} is an integration constant,
whereas the second one is the parameter in the ODE:
{{{
sage: var('d')
sage: desolve(diff(x,t)+2*x==t^2-2*t+d,x,ivar=t).expand()
c*e^(-2*t) + 1/2*t^2 + 1/2*d - 3/2*t + 3/4
}}}
In case the ODE contains {{{c}}}, desolve should choose another
name for the integration constant.
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Ticket URL: <http://trac.sagemath.org/sage_trac/ticket/9421>
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