Comment #13 on issue 1621 by [email protected]: Initial conditions in dsolve()
http://code.google.com/p/sympy/issues/detail?id=1621

Maybe we can start implementing a simple solution that does not require a Differentiation operator or IntegrationConstant. To express initial conditions we could start with a list of tuples.

dsolve(Derivative(f(x), x, 2) + 4*f(x) - sin(2*x), f(x), initial_conds=((0, 1, 2), (1, 2, 3)) )

initial_conds is a tuple of triplets. Each tuple is an initial contition with 3 values (order, point, value). Order is the derivative order, 0=f(x), 1=f'(x) etc. point is where initial condition is evaluated, and value the initial condition value.

Example of triplets:
(0,1,2) encodes f(1) = 2
(1,2,3) encodes f'(2) = 3


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