Question: Solve the following initial-value problem over the interval from t = 2 to t = 3: dy/dt = 0.4y + e-2t Use the non-self-starting Heun

Solve the following initial-value problem over the interval from t = 2 to t = 3:

dy/dt = –0.4y + e-2t

Use the non-self-starting Heun method with a step size of 0.5 and initial conditions of y(1.5) = 5.800007 and y(2.0) = 4.762673. Iterate the corrector to εs = 0.1%. Compute the true percent relative errors εt for your results based on the analytical solution.

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