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(C) Use Euler's method to obtain a numerical solution of the differential equation y= 2yx, given the initial conditions that x = 1 when

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(C) Use Euler's method to obtain a numerical solution of the differential equation y= 2yx, given the initial conditions that x = 1 when y = 1, in the range x = 1.0 (0.1) 1.2. Work dx to an accuracy of 6 decimal places. If the exact solution of the given differential equation is y = 0.3 679 ex, determine the percentage error at x=1, 1.1 and 1.2. Do you think we need to use a smaller step size "h" in this problem? Explain your answer.

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