Consider the initial value problem y -2xy y0 2 apply, Ask an Expert

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Consider the initial value problem y'= -2xy , y(0) ? 2 . Apply Euler’s method to approximate this solution on the interval (0,0.5) with step size h=0.1. Apply the improved Euler method with step size h=0.1. Then solve the equation and compare the approximations with the value y(0.5) of the actual solution. can you please show all steps as well as both methods and the actual answer.

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