[Solved]1 Use Midpoint Method Solve Ode Y T Y 2 Y T 2 Y 0 1 Time Interval 0 3 Step H 001 Plot Y Ve Q37271781

(1) Use the midpoint method to solve the ODE y’ = t*(y)^2 −y*(t)^2, y(0) = 1, on the time interval [0, 3] with a step h =0.01. Plot y versus t; show your code. (2) Plot y versus t usingMatlab’s ode45 function.

Expert Answer

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Answer to (1) Use the midpoint method to solve the ODE y’ = t*(y)^2 − y*(t)^2, y(0) = 1, on the time interval [0, 3] with a step… . . .