Using Maclaurin Series, the General Series Solution, with the First $( x - 1 ) y ^ { \prime \prime } + y ^ { \prime } = 0$

Using Maclaurin series, the general series solution, with the first three nonzero terms, of the differential equation $( x - 1 ) y ^ { \prime \prime } + y ^ { \prime } = 0$ is

A) $y = A + B \left( x - \frac { x ^ { 2 } } { 2 } - \frac { x ^ { 3 } } { 3 } - \cdots \right)$
B) $y = A + B \left( x + \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 3 } } { 3 } + \cdots \right)$
C) $y = A + B \left( x - \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 3 } } { 3 } - \cdots \right)$
D) $y = A + B \left( - x + \frac { x ^ { 2 } } { 2 } - \frac { x ^ { 3 } } { 3 } + \cdots \right)$
E) $y = A + B \left( - x + \frac { x ^ { 2 } } { 2 } + \frac { x ^ { 3 } } { 3 } + \cdots \right)$