Question: [3pts] Problem #5) Use MATLAB and solve the following ODE by Heun's Method over the interval x = [0, and initial condition (0 0.1. Plo

 [3pts] Problem #5) Use MATLAB and solve the following ODE by

[3pts] Problem #5) Use MATLAB and solve the following ODE by Heun's Method over the interval x = [0, and initial condition (0 0.1. Plo a solutions on the same graph and state your observations. dy = cos(x*) + 5y-3 a) Solve using a single corrector step and a step size of 0.1 b) Solve using a single corrector step and a step size of 0.01 c) Improve the accuracy of part a) by repeating the corrector step 2 times for each y value d) Improve the accuracy of part b) by repeating the corrector step 20 times for each y value

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