Consider the initial value problem (see Example 5) y__ + 5y_ + 6y = 0, y(0) = 2, y_(0) =

Chapter 3, Problem 19

(choose chapter or problem)

Consider the initial value problem (see Example 5) y__ + 5y_ + 6y = 0, y(0) = 2, y_(0) = , where > 0. a. Solve the initial value problem. b. Determine the coordinates tm and ym of the maximum point of the solution as functions of . c. Determine the smallest value of for which ym 4. d. Determine the behavior of tm and ym as .

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