Hey JUNAIDANWAR194.

For this problem, the first thing I'd do is to use integration by parts to get the integral term for y(t)e^(-pt)dt which is F(p). You are however going to have derivative terms in there so these need to be accounted for and depending on the final answer, you may not be able to get a simple transform function in terms of F(p).

The Laplace Transforms don't really work well on powers of functions: they work well on derivatives of functions but powers are another story.

Perhaps you can show us what you have tried?