Consider the initial value problemy+ 2ay+ (a2 + 1)y = 0,
Chapter 3, Problem 26(choose chapter or problem)
Consider the initial value problemy+ 2ay+ (a2 + 1)y = 0, y(0) = 1, y(0) = 0.(a) Find the solution y(t) of this problem.(b) For a = 1 find the smallest T such that |y(t)| < 0.1 for t > T.(c) Repeat part (b) for a = 1/4, 1/2, and 2.(d) Using the results of parts (b) and (c), plot T versus a and describe the relation betweenT and a.
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