The Solution of the Initial Value Problem $y ^ { \prime } = 2 y + x , y ( 1 ) = 1 / 4$

Multiple Choice

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

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