Question: Consider a vibrating system of your choice modeled by y + cy' + ky = (t). (a) Using graphs of the solution, describe the effect

Consider a vibrating system of your choice modeled by

y" + cy' + ky = δ(t).

(a) Using graphs of the solution, describe the effect of continuously decreasing the damping to 0, keeping k constant.

(b) What happens if c is kept constant and k is continuously increased, starting from 0?

(c) Extend your results to a system with two δ-functions on the right, acting at different times.

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