Mathematics

Problem

If the general solution of the differential equation

y' = \frac{y}{x} + \Phi\left(\frac{x}{y}\right)

, for some function

\Phi

, is given by

y \ln |cx| = x

, where

c

is an arbitrary constant, then

\Phi(2)

is equal to : [JEE-MAIN ONLINE-2014] (1) 4 (2)

-4

(3)

\frac{1}{4}

(4)

-\frac{1}{4}