Chapter 4.2, Problem 15P

Verify that $y_1(t)=t^2$ and $y_2(t)=t^{-1}$ are two solutions of the differential equation $t^{2}y"-2y=0$ for $t>0$. The show that $c_1{t}^2+c_2{t}^{-1}$ is also a solution of this equation for any $c_1$ and $c_2$.