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If you haven't already, finish the problem we started in class on the Simple Harmonic Oscillator. In particular, modify your 2 nd - order and
If you haven't already, finish the problem we started in class on the Simple Harmonic Oscillator. In particular, modify your ndorder and thorder RungeKutta functions to accept a system of equations in matrix form, similar to the example program on Canvas Then use both functions to solve the equation of motion for the simple harmonic oscillator:
a The exact solution of the position of the simple harmonic oscillator is
AcosBsin
Solve for the coefficients A and B by hand, assuming and
b Make a single figure with four subpanels showing the exact and numerical solutions for the following conditions using both your ndorder and thorder RungeKutta functions. Each plot should have three lines.
i
ii
iii.
iv
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