Verify that $h_1(t)=f^2$ and $h_2(t)=t^{-1}$ are two solutions of the differential equation

$r^2{r}^{\text{'}}-2y=0$ for $t>0$

Then show that $y=c_1{t}^2{c}_2{t}^{-1}$ is also a solution of this equation for any $c_1$ and $c_2.$