CUET · MATHS · PYQ PAPER 2023
The integrating factor of the differential equation \(\frac{d y}{d x}+y \cot x=2 x+x^2 \cot x, x \neq 0\) is
- A \(\cos x\)
- B \(\cot x\)
- C \(\sin x\)
- D \(-\sin x\)
Answer & Solution
Correct Answer
(C) \(\sin x\)
Step-by-step Solution
Detailed explanation
IF \( = e^{\int \cot x \, dx} \) \( = e^{\ln |\sin x|} \) \( = \sin x \)
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