Chapter 4.2, Problem 33P

In each of problem 28 through 38, use method of reduction of order to find a second solution $y$ of the given differential equation such that $\{y_1,y_2\}$ is a fundamental set of solution on the given interval.

$x{y}^{″}-y^{\prime }+4x^{3}y=0$, $x>0$; $y_1\left(x\right)=\sin \left(x^2\right)$