The Solution to the Differential Equation $\frac { d y } { d x } = 2 x y$

Multiple Choice

The solution to the differential equation $\frac { d y } { d x } = 2 x y$ satisfying the boundary condition $y = e ^ { 2 }$ when $x = 0$ is

A) $y = e ^ { x ^ { 2 } }$
B) $y = e ^ { x ^ { 2 } - 1 }$
C) $y = e ^ { x ^ { 2 } + 1 }$
D) $y = e ^ { x ^ { 2 } + 2 }$
E) $y = e ^ { x ^ { 2 } + 3 }$