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

New issue 3069 by trel...@psu.edu: dsolve gets too many constants for a first order linear ode
http://code.google.com/p/sympy/issues/detail?id=3069


ode2 = (2*t+3)*Derivative(y(t),t) + (4*t**2 + 12*t+7)*y(t)
sol = dsolve(ode2,y(t))


The dsolve gives the solution

                2                2
             - t  - 3⋅t       - t  - 3⋅t
y(t) = C₁⋅t⋅ℯ           + C₂⋅ℯ


But this is only a first-order equation, and should only have 1
integration constant.  The solution should be

                  2
               - t  - 3⋅t
C₁⋅(-2⋅t - 3)⋅ℯ





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