HW07: Problem 1 7 {1 point] Use the Laplace transform to solve the following initial 1yalue problem: y" + y = [1, 11m} = 1, y'l] = 2 {1} First, using Y for the Laplace transform of y{t), i_e_, Y = {y(t}), nd the equation you get by taking the Laplace transform of the differential equation to obtain = l] {2] Next solve for Y = {3] Finally apply the inverse Laplace transform to nd y} sit] =