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Consider the following. Differential Equation Initial Cond on xvalue dy _ 2x + 13 E 3y2 7 3 (1,2) x=2 (a) Use Euler's Method with

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Consider the following. Differential Equation Initial Cond on xvalue dy _ 2x + 13 E 3y2 7 3 (1,2) x=2 (a) Use Euler's Method with a step size ofh = 0.1 to approximate the particular solution of the initial value problem at the given X-value. (Round your answer to four decimal places.) Y = X (b) Find the exact solution of the differential equation analytically. (Enter your solution as an equation.) (c) Find the error between Euler's Method and the exact solution by comparing the solutions at the given x-value. (Round your answer to four decimal places) 0.3204 x

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