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4. [4 points] Use Euler's Method to approximate the solutions to: y' = y + cosx, y(0) = 0, n = 5, h = 0.2

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4. [4 points] Use Euler's Method to approximate the solutions to: y' = y + cosx, y(0) = 0, n = 5, h = 0.2 . Write the Euler Iteration: yn = yn-1 + . Complete the Table below given that the Exact solution to this Differential Equation is y = = (sin x - cosx + e*). Retain 6 decimal places during your computations. [You may use a scientific calculator for this problem] Xn yn Exact Solution y (Xn) ly(xn) - ynl N H O S W How accurate is Euler's approximation relative to the Exact solution? Comment on the Error associated with Euler's method as seen from the final column in the Table

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