Status: New
Owner: ----
Labels: Type-Defect Priority-Medium

New issue 2190 by [email protected]: dsolve first order linear differential equation failed.
http://code.google.com/p/sympy/issues/detail?id=2190

from sympy import *
u = Function("u")
y = Function("y")
t = symbols("t")

print dsolve(y(t).diff(t)+y(t)-u(t), y(t))

==>

y(t) == (C1 + exp(t)*u(t) - D(u(t), t)*exp(t))*exp(-t)

I think the result is wrong, according to wolframalpha:

http://www.wolframalpha.com/input/?i=y(t)+%2B+y(t)'+-+u(t)%3D0

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