Please show steps for A, B, and C.

3. a. (15 points) Use Heun's method with h-0.5 to solve the following initial-value problem numerically over the interval from x = 0 to 2.5: = yr-l.ly where y(0)-1. Iterate the corrector to Ea =196. (Note that yrae(x)-e b. (10 points) Use Midpoint method with h = 0.5 to solve the same ODE above over the dx interval from x = 0 to 2.5. (10 points) Compare the results in parts (a) and (b). Comment about which method gives the best results and why. Do you observe any divergent behaviour? If so, how c. would you avoid it? Use yn"(x)= e, as the true solution. (Note: Show all of the equations used in your computations clearly. Since each step may involve several iterations, use of 3. a. (15 points) Use Heun's method with h-0.5 to solve the following initial-value problem numerically over the interval from x = 0 to 2.5: = yr-l.ly where y(0)-1. Iterate the corrector to Ea =196. (Note that yrae(x)-e b. (10 points) Use Midpoint method with h = 0.5 to solve the same ODE above over the dx interval from x = 0 to 2.5. (10 points) Compare the results in parts (a) and (b). Comment about which method gives the best results and why. Do you observe any divergent behaviour? If so, how c. would you avoid it? Use yn"(x)= e, as the true solution. (Note: Show all of the equations used in your computations clearly. Since each step may involve several iterations, use of