My best guess at interpreting this question is that you need to solve
which seems like a reasonable interpretation as this ODE is of a well-known type (Cauchy-Euler). And it looks like you're given two initial conditions, and .
Substitute , so that and . Then plugging these into the ODE gives
So the homogeneous ODE has general solution
This solution has derivative
From the initial conditions, we get
Solving this system gives
thus giving the particular solution,