A well known equation in mathematical physics is the equation y" - 2xy + 2ay = 0 Find the power series solution, y = -0 ant". Write your answer in terms of the even and odd series y(x) = coy₁ (x) + C₁y2(x), respectively. Find three (3) terms in each series solution, y₁ (x) and y₂(x). Find the polynomial solutions for a = 0, 1, 2, 3,4 What do you notice?

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