$\text { Use integration to find the particular solution of the differential equation } \frac { d y } { d x } = \frac { \ln x } { x }$

Multiple Choice

$\text { Use integration to find the particular solution of the differential equation } \frac { d y } { d x } = \frac { \ln x } { x }$ which passes through the point $( 1 , - 3 )$ .

A) $y = \ln x + 3$
B) $y = \frac { ( \ln x ) ^ { 2 } } { 2 } - 3$
C) $y = \frac { ( \ln x ) ^ { 2 } } { 2 } + 3$
D) $y = - 3 ( \ln x + 1 )$
E) $y = \ln x - 3$ \