Consider the differential equation: dy/dx=2,(0)=1 Answer the next questions based on this differential equation. For reference, the exact solution to this problem is given by y(x)=1/(x+1) (a)(5 points) Perform 2 iterations of Euler's method with h =0.1. What is the resulting value of y at x =0.2? (b)(10 points) Perform 2 iteration of Heun's method (predictor corrector) with h =0.1. What is the resulting value of y at x =0.2? (c)(5 points) Perform 1 iteration of Midpoint method (predictor corrector) with h =0.2. What is the resulting value of y at x =0.2?