Question: Consider the initial value problem describing the motion of a harmonic oscillator without friction: y + 4y = g(t); y(0) = 1, y'(0) =

Consider the initial value problem describing the motion of a harmonic oscillator

Consider the initial value problem describing the motion of a harmonic oscillator without friction: y" + 4y = g(t); y(0) = 1, y'(0) = 0 %3D %3D Hint: sina sin B =[cos(a - B)- cos(a + B)] %3D a. Solve by Laplace transform. b. If g(t) = sin 3t what will the response be in the long run? %3D

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