Chapter 4.5, Problem 34P

Nonhomogeneous Cauchy-Euler Equations. In each of problems 32 through 35, find the general solution by using the change of variable $t=\ln x$ to transform the equation into one with constant coefficients (see the discussion preceding Problem 52 in Section 4.3).

$x^{2}y\text{'}\text{'}-2xy\text{'}+2y=3x^2+2\ln x$