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

Multiple Choice

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

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