Solve the First Order Linear Differential Equation $y ^ { \prime } - 2 x y = e ^ { x ^ { 2 } }$

Multiple Choice

Solve the first order linear differential equation. $y ^ { \prime } - 2 x y = e ^ { x ^ { 2 } }$

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