Solution of the differential equation
Question:

Solution of the differential equation $\cos x d y=y(\sin x-y) d x, 0<x<\frac{\pi}{2}$ is :

1. $\sec \mathrm{x}=(\tan \mathrm{x}+\mathrm{c}) \mathrm{y}$

2.  $y \sec x=\tan x+c$

3. $y \tan x=\sec x+c$

4. $\tan x=(\sec x+c) y$

Correct Option: 1

Solution: