Consider the initial value problemy+ 2y+ 6y = 0, y(0) = 2,

Chapter 3, Problem 25

(choose chapter or problem)

Consider the initial value problemy+ 2y+ 6y = 0, y(0) = 2, y(0) = 0.(a) Find the solution y(t) of this problem.(b) Find such that y = 0 when t = 1.(c) Find, as a function of , the smallest positive value of t for which y = 0.(d) Determine the limit of the expression found in part (c) as .

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