Euler Cauchy Method: Apply Euler Cauchy to solve the Differential Equation (DE) of y' = y - x. Where h = 0.1 and y(0) = 0.5 (initial condition). Approximation to x = 0.1.  When determining the solution to the DE, by means of integrating factor method, the solution is: y = - x + 1 + C/(e^x), where c = -0.5. That being said, tabulating euler-cauchy value of y and the exact solution value of y at x = 0.1, why is the euler-cauchy value 0.5475 but the exact solution value 0.44758, when we should get a value of 0.547414?  Please assist, asap.

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