Consider the following initial value problem: y" + 36y = {9t, 0≤ t ≤4 36, t> 4} y(0) = 0, y'(0) = 0
Using Y for the Laplace transform of y(t), i.e., Y = L{y(t)}, find the equation you get by taking the Laplace transform of the differential equation and solve for Y(s).