Find the General Solution of the Differential Equation $\frac { \mathrm { d } y } { \mathrm {~d} x } = 12 x y$

Multiple Choice

Find the general solution of the differential equation. $\frac { \mathrm { d } y } { \mathrm {~d} x } = 12 x y$
Solve for y as a function of x.

A) $y = C e ^ { x ^ { 2 } } + 6$
B) $y = C e ^ { 6 x ^ { 2 } }$
C) $y = C e ^ { 12 x }$
D) $y = C e ^ { 6 x }$
E) $y = e ^ { 6 x ^ { 2 } } + C$