j(x) =1+x +y y(0) =1 Use h = 0.1. One correction only %3D Determine y(0.1) and...

Transcribed Image Text:

j(x) =1+x² +y y(0) =1 Use h = 0.1. One correction only %3D Determine y(0.1) and y(0.2) у(x) %— е*(-х?е-* — 2хе-* — Зе-* + 4) 1- Euler Method 2- Midpoint Method 3- Heun Method with three corrections Your submission should all the detailed work and not just the final answers, illustrate the impact of h on the absolute true error (global and local) and whether they conform with the order of error O(h") for each method. j(x) =1+x² +y y(0) =1 Use h = 0.1. One correction only %3D Determine y(0.1) and y(0.2) у(x) %— е*(-х?е-* — 2хе-* — Зе-* + 4) 1- Euler Method 2- Midpoint Method 3- Heun Method with three corrections Your submission should all the detailed work and not just the final answers, illustrate the impact of h on the absolute true error (global and local) and whether they conform with the order of error O(h") for each method.

Answer rating: 100% (QA)

By the given question comparing with y fxy fxy1x2y and true solution is given by yxexpxx2expx2xexpx3expx4 from which we have to compare the numerical ... View the full answer