Question: Please be clear Consider the following differential equation (16 + x2) y - xy' + 32y = 0, 20 = 0. (a) Seek a power

Please be clear

Consider the following differential equation (16 + x2) y" - xy' + 32y = 0, 20 = 0. (a) Seek a power series solution for the given differential equation about the given point To; find the recurrence relation. an + 2 an+1 an (b) Find the first four terms in each of two solutions y1 and y2 (unless the series terminates sooner). Write the first solution, yi(x), using the even exponents for a. NOTE: Enter an exact answer. y1(a) +. .. y2(x) = +

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