(Hard spring with no damping) The first equation that you

Chapter , Problem 1

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(Hard spring with no damping) The first equation that you should study is the hard spring with no damping; that is, b = 0 and a = a1. Examine solutions using both their graphs and the phase plane. Consider the periods of the periodic solutions that have the initial condition v(0) = 0. Sketch the graph of the period as a function of the initial condition y(0). Is there a minimum period? A maximum period? If so, how do you interpret these extrema?

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