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Consider an undamped spring with spring constant k = 9N/m and with a mass attached with...

Consider an undamped spring with spring constant k = 9N/m and with a mass attached with mass 4kg. We apply a driving force of F(t) = sin(3t/2). Solve the IVP for the position of the mass x(t) with the string initially at rest at the equilibrium (so x(0) = 0 and ˙x(0) = 0). (Hint: Guess a particular solution of the form Ct cos(3t/2) and find the constant C.)

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