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Please solve the part c and provide the MatLab code for the part c Problem 3. The equation deix(t)--x(t) + (1-x(t)2) x(t) dt2 known as

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Please solve the part c and provide the MatLab code for the part c

Problem 3. The equation deix(t)--x(t) + (1-x(t)2) x(t) dt2 known as the Van der Pol equation, represents a simple oscillator a. Reduce the Van der Pol equation to a system of first-order ODEs. b. Implement forwand Euler, hackwand Euler and the trapezoidal schemes for the solution of the Van der Pol oscillator c. Use your implementations from part (b) to generate solutions for the Van der Pol oscillator for -1 and = 10. Use r(0) = 2,0) = 0 and experiment with various step sizes to obtain reasonable accuracy for each value of with all of the schemes you implemented in part (b). Compute the solution in the time interval t E [0, max(20, 10p)]. Comment on your results

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