The Solution of the Differential Equation $y ^ { \prime } - y / x = y ^ { 2 }$

Multiple Choice

The solution of the differential equation $y ^ { \prime } - y / x = y ^ { 2 }$ is

A) $y = c / x - x / 2$
B) $y = 1 / ( c / x - x / 2 )$
C) $y = ( c x - x \ln x )$
D) $y = 1 / ( c x - x \ln x )$
E) $y = 1 + c e ^ { x }$