How is this DE solved?

This is a separation from PDE. I don't know what to do at this point.

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- January 3rd 2011, 07:32 PMdwsmithx^2 φ'' (x)+xφ' (x)-λφ(x)=0

How is this DE solved?

This is a separation from PDE. I don't know what to do at this point. - January 3rd 2011, 07:42 PMChris L T521
It's a Cauchy-Euler equation. You assume that the solution is of the form . Thus, the characteristic equation for the ODE in question is .

I'm sure you can finish this off.