The position of a certain undamped springmass system satisfies the initial value
Chapter 3, Problem 28(choose chapter or problem)
The position of a certain undamped springmass system satisfies the initial value problemu + 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; that is, plot u(t) and u(t) parametrically with t as the parameter.This plot is known as a phase plot, and the uu-plane is called the phase plane. Observethat a closed curve in the phase plane corresponds to a periodic solution u(t). What is thedirection of motion on the phase plot as t increases?
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