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1. Find the power series solutions of the following differential equations: (a) dy =x²y dr (b) (x-3)+2y=0 (c) = xy dx² - y = 0, y (0) = 1, y' (0) = 0 +²y=0, y(0) = 1, y (0) = 0 (d) Ⓡ d'y dy -I dx² dx d'y dx² =