Question

1. Problem 14 in $5.7 of Brannan and Boyce (p.350 in 3rd ed. text). Also complete part (e) if take γ- and replace the forcing term. δ(t-1), with a sum Σ of the response? Solve the problem with this d and plot your solution for N 5. k-1 δ(t-kd), what d should we pick to maximize the amplitude 14. Consider the initial value problem where y is the damping coefficient (or resistance) (a) Let γ Ξ-. Find the solution of the initial value problem and plot its graph. (b) Find the time t, at which the solution attains its maxi mum value. Also find the maximum value y of the solution. (c) Let γ-and repeat parts (a) and (b). (d) Determine how t, and y vary as y decreases. What are the values of, andy when γ =0?

Answer 1

Given that

we have to find the solution of the initial value problem and plot its graph.

Solu toh Taking laPlacetaahsrosm s) 6 16 taking taplace invesse Í.it(f.) , sle(.) ). U15 9H) is maximum wheh iS 015 す(3.62a U15 688