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Consider the ‘spring-mass system’ represented by an ODE x′′ (t) + 16x(t) = 5 sin 4t...

Consider the ‘spring-mass system’ represented by an ODE x′′ (t) + 16x(t) = 5 sin 4t with ICs: x(0) = 2, x′ (0) = 1. Answer the questions (a)–(c):

(a) Is there damping in the system? Why or why not?

(b) Is there resonance in the system? Why or why not?

(c) Solve the ODE.

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