1) When a mass of 3 kilograms is attached to a spring whoseconstant is 48 N/m, it comes to rest in the equilibrium position.Starting at
t = 0, a force equal tof(t) =180e−4tcos(4t) is applied to the system. Find theequation of motion in the absence of damping.
x(t) =
2) Solve the given initial-value problem. d^(2)x/dt^2 + 9x = 5sin(3t), x(0) = 6,  x'(0) = 0
x(t) =
