I re posted because i stuffed up the latex code.

I am stuck on this ODE.

Boundary conditions are:

U(0)=U(1)=0

+ * - =

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- Apr 4th 2010, 04:30 AM #1

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- Apr 4th 2010, 05:59 AM #2

- Apr 4th 2010, 08:01 AM #3

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This is an "Euler-type" or "equipotential" equation. As chisigma said, you can try a solution of the form to get the "characteristic equation".

It is also true that the substitution t= ln(x) converts an "Euler-type" equation into an equation with constant coefficients having the same characteristic equation.