Question: differential equations Math210 Note: please write down the Answer by hand on paper and also write each answer with the number of the questions (1)

differential equations Math210

Note: please write down the Answer by hand on paper and also write each answer with the number of the questions

(1) (a) Use power series to find the general solution of the equation y" - (x + 1)y - y =0. (b) What is the particular solution if we add the initial conditions y(0) = 2, y (0) = 4? (2) Use power series to solve the equation (x2 + 1)y - 6y = 0

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