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

Use the non-self-starting Heun method with a step size of 0.5 and initial conditions of y(1.5) = 5.222138 and y(2.0) = 4.143883. Iterate the corrector to ε_s = 0.1%. Compute the percent relative errors for your results based on the exact solutions obtained analytically: y(2.5) = 3.273888 and y(3.0) = 2.577988.

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dy dt = -0.5y+e-¹