The Solution of the Initial Value Problem $y ^ { \prime } = 2 y + x , y ( - 1 ) = 1 / 2$

Multiple Choice

The solution of the initial value problem $y ^ { \prime } = 2 y + x , y ( - 1 ) = 1 / 2$ is $y = - x / 2 - 1 / 4 + c e ^ { 2 x }$ , where $c =$

A) 2
B) $e ^ { 2 } / 4$
C) $e ^ { 2 }$
D) $e ^ { 2 } / 2$
E) 1