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Differential Eq.

Hi All,

Can anybody kindly tell me how I can solve the following differential equation, with (x[0], x'[0]) = (0, 0):

x''[t] -x[t] + g[t] = 0,


g[t] = b*v, for x'[t] > v,

g[t] = b*(x'[t]-u), for Abs[x'[t]-u] < v, and

g[t] = -b*v.

Take b = 5, v = 0.2, and u = 0.1. Draw x[t] vs t, and x'[t] vs x[t].


J. Ariai

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