How do we define the general solution of an ordinary differential equation? Obviously a function is a solution if it solves the equation. But what else do we need for it to be the general solution? Obviously the general solution will contain arbitrary constants, but how do we know that a given solution is the general solution?
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What's a general solution? watch
- Thread Starter
- 19-01-2010 20:35
- 19-01-2010 21:25
I'd guess the general solution is the set of all possible solutions of the ODE. (i.e. it is impossible to find any solution which cannot be obtained by setting the arbitrary constants to specific values)