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Subject is differential equations. Find the first four nonzero terms in a power series expansion about x=0...

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Advance Math

Subject is differential equations.

Find the first four nonzero terms in a power series expansionabout x=0 for a general solution to the given differentialequations.

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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