Q. The integrating factor of the differential equation $\cos{x\left( \ \frac{dy}{dx}\ \right) + y\sin{x = 1}}$ is
A) $\sec x$
B) $\tan x$
C) $\sin x$
D) $\cot x$
Explanation
(a)
The given differential equation is
$\frac{dy}{dx} + y\frac{\sin x}{\cos x} = \frac{1}{\cos x}$
$\therefore IF = e^{\int_{}^{}{\frac{\sin x}{\cos x}dx}} = e^{\log{\sec x}} = \sec x$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.