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categoryرياضيات schoolبكالوريوس event_available2026-07-14

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Given the initial conditions, y(0) = 1 and y'(0) = 0, solve the following initial-value problem from t= 0 to 4: d²y dt² + 4y = 0 Obtain your solution using MATLAB pre-written function ode45. Print out solutions in a table of three columns for t, y and y', respectively. Plot solutions for y and y' vs. t on the same graph along with the exact solution y = cos 2t. Also, plot the phase-plane plot (plot of y vs. y').

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