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ODE question

ironictoaster · 2012-03-28 19:51:53

Is there a difference between solving and finding the general solution of an ODE? I'm finding conflicting answers about this one online. Cheers

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28-03-2012 8:51pm

#1

ironictoaster

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Is there a difference between solving and finding the general solution of an ODE?

I'm finding conflicting answers about this one online.

Cheers

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#2 28-03-2012 10:35pm
Eliot Rosewater

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It depends on the kind of ODE I suppose. If you're dealing with an ODE that satisfies Picard's Uniqueness Theorem then once you've found a solution (or a number of solutions equal to the order of the ODE) parameterized by some constant(s) that can be determined from the initial conditions then you know you've found every solution - as the solution(s) is (are) unique.

Is that what you're aiming at?

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