# 1) When a mass of 3 kilograms is attached to a spring whose constant is 48...

###### Question:

1) When a mass of 3 kilograms is attached to a spring whose constant is 48 N/m, it comes to rest in the equilibrium position. Starting at t = 0, a force equal to f(t) = 180e−4t cos(4t) is applied to the system. Find the equation of motion in the absence of damping.

x(t) =

2) Solve the given initial-value problem.

 d2x dt2

+ 9x = 5 sin(3t),

x(0) = 6,  x'(0) = 0

x(t) =

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