Solve the following problem over the interval from t = 0 to 2 using a step size

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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.

Obtain your solutions with 

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

(b) Heun’s method with iterating the corrector until ε< 0.1%, 

(c) The midpoint method, and

(d) Ralston’s method.

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