Let the the follolwing ODE be given. Let x be a real number. xy" + (1 – x)y' = (x -)y a) Use the power series approach y(x) =[ an x", to find solution with ao = 1. Also assume that x +} € Z. n=0 b)...

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Extracted text: Let the the follolwing ODE be given. Let x be a real number. xy" + (1 – x)y' = (x -)y a) Use the power series approach y(x) =[ an x", to find solution with ao = 1. Also assume that x +} € Z. n=0 b) Give an explicit solution for x= -2.5