00 Substitute y(x) =2 anx" and the Maclaurin series for 3 sin 2x into y'- 4xy = 3 sin 2x and equate the coefficients of like powers of x on both sides of the n = 0 equation to find the first four nonzero terms in a power series expansion about x = 0 of a general solution to the differential equation. y(x) =+. (Type an expression in terms of a, that includes all terms up to order 6.)