take the laplace transform of both sides of the given differential equation to create the corresponding algebraic equation. denote the laplace transform of by . do not move any terms from one side of the equation to the other (until you get to part (b) below). sy 3ys 36/s^2 help (formulas) solve your equation for . (36 4s^2)/(s^2(s 3)) take the inverse laplace transform of both sides of the previous equation to solve for . -4 12t 8e^(-3t)
