The position of a certain springmass system satisfies the initial value problemu + 14u +
Chapter 3, Problem 29(choose chapter or problem)
The position of a certain springmass system satisfies the initial value problemu + 14u + 2u = 0, u(0) = 0, u(0) = 2.(a) Find the solution of this initial value problem.(b) Plot u versus t and u versus t on the same axes.(c) Plot u versus u in the phase plane (see 28). Identify several correspondingpoints on the curves in parts (b) and (c).What is the direction of motion on the phase plotas t increases?
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