The General Solution of the First-Order Differential Equation $x ^ { 2 } y ^ { \prime } + ( 1 - 2 x ) y = x ^ { 2 }$

Multiple Choice

The general solution of the first-order differential equation $x ^ { 2 } y ^ { \prime } + ( 1 - 2 x ) y = x ^ { 2 }$ is

A) $y = x ^ { 2 } \left( 1 - C e ^ { \frac { 1 } { x } } \right)$
B) $y = x ^ { 2 } \left( 1 + C e ^ { \frac { 1 } { x } } \right)$
C)
D) $y = 2 x ^ { 2 } \left( 1 - C e ^ { \frac { 1 } { x } } \right)$
E) $y = 3 x ^ { 2 } \left( 1 + C e ^ { \frac { 1 } { x } } \right)$