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Find the first four nonzero terms in a power series expansion about x = 0 for...

Find the first four nonzero terms in a power series expansion about x = 0 for a general solution to the given differential equation

(x2 + 7)y'' + y = 0

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Subject is differential equations. Find the first four nonzero terms in a power series expansion about x=0 for a general solution to the given differential equations. a) y' + (x+5)y = 0 b) y'' + (x+5)y' + y = 0 c) y'' + 4xy' - y = 0; y(0) = 8, y'(0) = 0 d) y'' + (x-6)y' - y = 0; y(0) = -5, y'(0) = 0 Please show work! Thank you
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