Substitute y(x) = 2 anx and the Maclaurin series for 2 sin 2x into y'- 2xy...

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Substitute y(x) = 2 anx" and the Maclaurin series for 2 sin 2x into y'- 2xy = 2 sin 2x and equate the coefficients of like powers of x on both sides of the equation to n =0 find the first four nonzero terms in a power series expansion about x= 0 of a general solution to the differential equation. y(x) =D+. (Type an expression in terms of an that includes all terms up to order 6.) Substitute y(x) = 2 anx" and the Maclaurin series for 2 sin 2x into y'- 2xy = 2 sin 2x and equate the coefficients of like powers of x on both sides of the equation to n =0 find the first four nonzero terms in a power series expansion about x= 0 of a general solution to the differential equation. y(x) =D+. (Type an expression in terms of an that includes all terms up to order 6.)