The following set of di_erential equations can be used to

Chapter , Problem 11.18

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The following set of di_erential equations can be used to represent that behavior of a simple spring- mass system, with x1(t) the masss position and x2(t) its velocity: dx1 dt _ x2 dx2 dt _ x1 For the initial condition of x10_ _ 1:0, x20_ _ 0, and a step size 0.1 seconds, determine the values x10:3_ and x20:3_ using (a) Eulers method, (b) the modified Eulers method.

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