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Differential Eq.

  • To: mathgroup at smc.vnet.net
  • Subject: [mg106478] Differential Eq.
  • From: Jamil Ariai <j_ariai at hotmail.com>
  • Date: Thu, 14 Jan 2010 05:47:10 -0500 (EST)

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,



where



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].



Thanks.



J. Ariai
 		 	   		 


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