Integrating factor of the differential equation $\cos x \frac{d y}{d x}+y \sin x=1$, is
Answer & explanation
Correct answer: option 2
We have,
$\frac{d y}{d x}+(\tan x) y=\sec x$
∴ Integrating factor = $e^{\int \tan x d x}=e^{\log \sec x}=\sec x$
Integrating factor of the differential equation $\cos x \frac{d y}{d x}+y \sin x=1$, is
Correct answer: option 2
We have,
$\frac{d y}{d x}+(\tan x) y=\sec x$
∴ Integrating factor = $e^{\int \tan x d x}=e^{\log \sec x}=\sec x$