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

Multiple Choice

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

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