Use the Laplace transform to solve the given initial-value problem. y" - 3y' = 4e2t - 2e-t, y(0) = 1, y'(0) = −1 y(t) = = 7 A 4-pound weight stretches a spring 2 feet. The weight is released from rest 20 inches above the equilibrium position, and the resulting motion takes place in a medium offering a damping force numerically equal to instantaneous velocity. (Use g = 32 ft/s² for the acceleration due to gravity.) times the 8 Complete the Laplace transform of the differential equation. s² L{x} + S+ ])sx(x} + + ]]200-0 Use the Laplace transform to find the equation of motion x(t). x(t):