(10pts) Consider the damped forced harmonic oscillator with mass 1 kg, damping coefficient 2, spring constant...

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  1. (10pts) Consider the damped forced harmonic oscillator withmass 1 kg, damping coefficient 2, spring constant 3, and externalforce in the form of an instantaneous hammer strike (Section 6.4)at time t = 4 seconds. The mass is initially displaced 2meters in the positive direction and an initial velocity of 1 m/sis applied. Model this situation with an initial value problem andsolve it using the method of Laplace transforms.

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