i have to solve by using Laplace transforms and then inverting it using contour integration (which i'm incredibly vague on)
we were given the rule that if then , and also that the Laplace transform of an integral is
i found the Laplace transform of is and of is
do i have to Laplace transform the integral on the left as well? or do I multiply both Laplace transforms together and then integrate by contour integration?
i'm a little confused as to what to do next!
so am I solving for ? ie. i find the Laplace transform of and sub that and also my Laplace transforms of and into the equation, simplify and then inverse Laplace transform to get ?