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Question: consider a power series solution about zo 0 for the...

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Consider a power series solution about Zo 0 for the differential equation a) Find the recurrence relations satisfied by the coefficients an (b) Find the coefficients a2, as, . . . ,a8 of this power series in terms of a0 and al. (c) Deduce the general form of the coefficients an and write down the general solution as a linear combination of two linearly independent power series solutions. (d) What is the radius of convergence of each one of the two linearly independent power series solutions. (e) Find the power series solution of the initial value problem (0) 3,(0)1

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