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For the differential equation x′′ + (o.1)(1 − x2)x′ + x = 0; x(0) = 1,...

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Mechanical Engineering

For the differential equation x′′ + (o.1)(1 − x2)x′ + x = 0; x(0)= 1, x′(0) = 0. (a) Rewrite it as a system of first orderdifferential equations in preparation to solve with the vectorizedversion of a numerical approximation technique. (b) Use thevectorized Euler method with h = 0.2 to plot out an approximatesolution for t = 0 to t = 10. (c) Plot the points to theapproximated solution (make a scatter plot), make a prediction ofwhat type of function the solution might be.

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