Need help solving this problem with newtons method

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To match how you are calling it, you need to switch the order of the arguments in this function handle:
F = @(p, t) k*p*(L-p)-a*sin((2*pi*t)/b);
to this
F = @(t, p) k*p*(L-p)-a*sin((2*pi*t)/b);
Also, you should strongly consider decreasing your step size by quite a bit. Maybe you could experiment with N in the 100's to see what works well. E.g., start with N = 100, then N = 200, etc. until you get answers that seem to be stable.

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2020-5-4

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