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Need help for this Consider the non-homogeneous differential equation y + 4xy = et (a version of what's called Airy's equation). Suppose that y(0) =

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Consider the non-homogeneous differential equation y" + 4xy = et (a version of what's called Airy's equation). Suppose that y(0) = 2 and y'(0) = 1. Use the power series method to find ao, a1, a2, and a formula for the coefficients an+2, n > 1 (in terms of an-1) in the solution to the initial value problem. OO Recall : e * = n=0 n

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