$($c$)$ Use Laplace transform methods to find the solution to the $2^($nd $)$ order ordinary

differential equation given below

$9($d$^(2)$y$)/($dt$^(2))+12($dy$)/($dt$)-5$y$=1$

when the initial conditions for t$=0$ are given as

y$=0$

$($dy$)/($dt$)=0$