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

Multiple Choice

Find the solution to the differential equation $\frac { d y } { d x } = x y$ satisfying $y ( 0 ) = 3$ .

A) $y = 3 + e ^ { x ^ { 2 } / 2 }$
B) $y = e ^ { 3 x ^ { 2 } / 2 }$
C) $y = 3 e ^ { x ^ { 2 } / 2 }$
D) $y = \frac { e ^ { x ^ { 2 } / 2 } } { 3 }$