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Please solve steps by steps 3. Solve the following differential equations using the series method around To = 0. Include the first 7 terms. (a)

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3. Solve the following differential equations using the series method around To = 0. Include the first 7 terms. (a) y" try' - xy = 0. (b) (x2 - 1)y" + xy' - 1=0. 4. Find the first four terms of the series solution of the IVP y" try = 0, y(1) = 2, y'(1) = -1. Notice that the center of the series is To = 1, and the coefficient a in the term xy may be written as (x - 1) + 1 for the purpose of finding an expansion of the form y = do +al(x -1) + a2(x - 1)2+

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