Consider the initial value problem4y+ 12y+ 9y = 0, y(0) =
Chapter 3, Problem 15(choose chapter or problem)
Consider the initial value problem4y+ 12y+ 9y = 0, y(0) = 1, y(0) = 4.(a) Solve the initial value problem and plot its solution for 0 t 5.(b) Determine where the solution has the value zero.(c) Determine the coordinates (t0, y0) of the minimum point.(d) Change the second initial condition to y(0) = b and find the solution as a functionof b. Then find the critical value of b that separates solutions that always remain positivefrom those that eventually become negative.
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