Question: Solve the following problem over the interval from t = 0 to 2 using a step size of 0.5 where y(0) = 1. Display all

Solve the following problem over the interval from t = 0 to 2 using a step size of 0.5 where y(0) = 1. Display all your results on the same graph.

dy dt :-2y+1 ||

Obtain your solutions with 

(a) Heun’s method without iterating the corrector, 

(b) Heun’s method with iterating the corrector until εs 

(c) The midpoint method, and

(d) Ralston’s method.

dy dt :-2y+1 ||

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