Question

The general solution of the differential equation $\frac{dy}{dx} + y \cot x = 2 \cos x$ is:

• A. $y \sin x = -\frac{1}{2} \cos 2x + C$
• B. $y \sin x = \frac{1}{2} \cos 2x + C$
• C. $y \sin x = -\cos 2x + C$
• D. $y \sin x = \sin 2x + C$

Hint:

Always remember that $\int \cot x \, dx = \ln|\sin x|$, making the integrating factor simply $\sin x$ for such standard equations.

Answer 1

The Correct Option is A