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

Multiple Choice

The solution to the differential equation $\frac { d y } { d x } = \frac { e ^ { x } } { 2 y }$ satisfying the boundary condition $y = 1$ when $x = 0$ is

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