Q. Solution of differential equation $\sec x\ dy - cosec\ y\ dx = 0$ is
A) $\cos x + \sin y = c$
B) $\sin x + \cos y = c$
C) $\sin y - \cos x = c$
D) $\cos y - \sin x = c$
Explanation
(b)
Given, $\sin y\ dy = \cos x\ dx$
$\Rightarrow$ $- \cos y + c = \sin x$ [integrating]
$\Rightarrow$ $\sin x + \cos y = c$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.