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Consider the following. Differential Equation Initial Condition x-value dy _ 2x + 13 E 3y2 3 (1,2) x=2 (a) Use Euler's Method with a step
Consider the following. Differential Equation Initial Condition x-value dy _ 2x + 13 E 3y2 3 (1,2) x=2 (a) Use Euler's Method with a step size of h = 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 = 3.0994 x (b) Find the exact solution of the differential equation analytically. (Enter your solution as an equation.) 2.3 x (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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