Transformation of a Cauchy-Euler equation

[jawhnay]

Homework Statement

x²y'' - xy' = ln x

Homework Equations

The problem I'm having is what do I do with x = e^t or t = ln x.

The Attempt at a Solution

I know you have to start with x = e^t or t = ln x however I'm not sure what to do next...

 

[voko]

You need to express $y' = \frac {dy} {dx}, \ y'' = \frac {d^2y} {dx^2}$ in terms of $\frac {dy} {dt}$ and $\frac {d^2y} {dt^2}$.