Hi everybody, I have absolutely no idea how to tackle this problem:

Let p(x) be a solution of the differential equation with initial conditions and . Find and .

Any help would be greatly appreciated.

Thank you!

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- Feb 13th 2010, 10:03 PMgundu24Second order differential equation
Hi everybody, I have absolutely no idea how to tackle this problem:

Let p(x) be a solution of the differential equation with initial conditions and . Find and .

Any help would be greatly appreciated.

Thank you! - Feb 14th 2010, 04:45 AMHallsofIvy
- Feb 15th 2010, 02:44 AMchisigma
The problem is quite interesting because, applying the procedure described by HalsofIvy, You can iteratively compute the quantities and that allows You to obtain the Taylor expansion of around ...

(1)

Kind regards

- Feb 15th 2010, 03:53 AMHallsofIvy
Yes, that's a standard, though very slow and not very practical, method of finding power series solutions to differential equations.