Target Exam

CUET

Subject

-- Mathematics - Section B1

Chapter

Differential Equations

Question:

If sin x is the inetegrating factor of the linear differential equation $\frac{dy}{dx}+Py=Q$ then P is :

Options:

tanx

cosx

cotx

log sinx

Correct Answer:

cotx

Explanation:

The correct answer is option (3) → $\cot x$

$I.F.=e^{∫P\,dx}=\sin x$

$∫P\,dx=\log\sin x$

differentiating eq. wrt (x)

$P=\frac{\cos x}{\sin x}=\cot x$