Chapter 4.2, Problem 31P

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.

$t^2{y}^{″}+3t{y}^{\prime }+y=0$, $t>0$; $y_1(t)=t^{-1}$