Comment #5 on issue 1621 by renato.c...@gmail.com: Initial conditions in dsolve()
http://code.google.com/p/sympy/issues/detail?id=1621
Passing incomplete initial conditions may be useful, too. Perhaps the user wants to solve a second order ODE and wants to give only one initial condition to obtain a 1-parameter family of solutions.
Sapta has a point in comment 2: this will be hard to do in the non-linear case if the order of tthe EDO is higher than 1. solve() is seriously broken for systems of equations that are not polynomial.
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