The General Solution of the First-Order Differential Equation $x y ^ { \prime } = x ^ { 2 } + 3 y$

Multiple Choice

The general solution of the first-order differential equation $x y ^ { \prime } = x ^ { 2 } + 3 y$ is

A) $y = - 3 x ^ { 2 } + C x ^ { 3 }$
B) $y = - x ^ { 2 } + C x ^ { 3 }$
C) $y = - 2 x ^ { 2 } + C x ^ { 3 }$
D) $y = - 5 x ^ { 2 } + C x ^ { 3 }$
E) $y = - 4 x ^ { 2 } + C x ^ { 3 }$