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Power Series Solution for y"-2y'+y=x, y(0)=0, y'(0)=1

ODEs: Find the first four terms of the power series solution to the IVP y"-2y'+y=x, y(0)=0, y'(0)=1. To check our answer, we find the solution using the annihilator method and expand the exponential terms into power series.
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