#17739: enhance desolve output from separable ODEs
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Reporter: rws | Owner:
Type: enhancement | Status: new
Priority: major | Milestone: sage-6.5
Component: calculus | Keywords:
Merged in: | Authors:
Reviewers: | Report Upstream: N/A
Work issues: | Branch:
Commit: | Dependencies:
Stopgaps: |
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At the moment, `desolve` behaves like this even with trivial separable
ODEs:
{{{
sage: t = var('t')
sage: y=function('y')(t)
sage: desolve(diff(y,t)-y^2,y)
-1/y(t) == _C + t
sage: desolve(diff(y,t)-y^2+y,y)
log(y(t) - 1) - log(y(t)) == _C + t
sage: desolve(diff(y,t)-y^2-1,y)
arctan(y(t)) == _C + t
}}}
They could be solved by substituting a variable for `y(t)` and calling
`solve`. Only if there is no solution from `solve` the integrated equation
should be given.
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Ticket URL: <http://trac.sagemath.org/ticket/17739>
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