Consider the initial value problem4y+ 4y+ y = 0, y(0) = 1,

Chapter 3, Problem 17

(choose chapter or problem)

Consider the initial value problem4y+ 4y+ y = 0, y(0) = 1, y(0) = 2.(a) Solve the initial value problem and plot the solution.(b) Determine the coordinates (tM, yM) of the maximum point.(c) Change the second initial condition to y(0) = b > 0 and find the solution as a functionof b.(d) Find the coordinates (tM, yM) of the maximum point in terms of b. Describe thedependence of tM and yM on b as b increases.

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