Question: Use the Laplace transform to show that the two initial value problems: (i) my +cy' tky = po(t) : y(0) =0, y'(0) =0 (ii) my

Use the Laplace transform to show that the two initial value problems: (i) my" +cy' tky = po(t) : y(0) =0, y'(0) =0 (ii) my" +cy' tky =0 : y(0) =0, y'(0) = 2 have the same solution for t > 0. Comment: This result shows that an idealized impulse of magnitude p imparts an initial velocity of vo = p/m to a mass-spring system that is initially at rest

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