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y’ – y = 2x -1 y(0) = 1 , 0 ≤ x ≤ 0.2   ...

y’ – y = 2x -1 y(0) = 1 , 0 ≤ x ≤ 0.2   

Use the Euler method to solve the following initial value problem

(a) Check whether the function y = 2 ex -2x- 1 is the analytical solution ;

(b) Find the errors by comparing the exact values you’re your numerical results (h = 0.05 and h = 0.1) and  Discuss the issue of numerical stability.

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