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

question 86

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) \(y = \ln x - 3\)\

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