Substitute y(x)= 2 a, x" and the Maclaurin series for 6 sin 3x into y' - 2xy = 6 sin 3x 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. У(х) = +.
(Type an expression in terms of a, that includes all terms up to order 6.)

Substitute and the Maclaurin series for 6 sin 3x into y' - 2xy = 6 sin 3x 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.

У(х) = ____ +.

(Type an expression in terms of a, that includes all terms up to order 6.)

Step-by-step explanation:

Relating the coefficient of constant term

Relating the coefficient of x¹

Relating the coefficient of x²

Relating the coefficient of x³

where;  

Divide both sides by 4

Relating coefficient of x⁴

Relating coefficient of x⁵

Divide both sides by 2

where;

Divide both sides by 3

Thus:

answer: a.

step-by-step explanation: the answer is a. because, you need to converge the fractions to find a solution.

step-by-step explanation:

for volume, add base x height x width