Question

FIND THE GENERAL SOLUTION OF DIFFRENTIAL EQUATION
Xy'= y/lnx where x= e and y=1​

Answer 1

Explanation:

x.dy/dx =y/logx

(1/y)dy =( logx/X)dx

on integrating both sides

logy =( logx )²/2 +c. is the general solution

on putting X=e and y=1

o=1/2 + c

c = -1/2