How do I solve the following differential equation?
$\partial^{2}_{x} \left[x^{2}p\right] + \partial_{x} \left[\left(x-1\right)p\right] = 0$
I tried a Fourier transform which leads to
$\left[k^{2}\partial^{2}_{k} + k\left(\partial_{k}+i\right)\right]\tilde{p} = 0$
where $\tilde{p}$ is the Fourier transform of $p$ but that doesn't really help.
Any ideas?