The general solution of dy/dx + y cot x = cosec x is:
The general solution of dy/dx + y cot x = cosec x is:
- A. y sin x = x + C
- B. y cos x = x + C
- C. y sin x = c
- D. y cosec x = x + C
Answer: A) y sin x = x + C
Explanation: P = cot x. IF = e^(∫cot x dx) = e^(log sin x) = sin x. Solution: y(sin x) = ∫(cosec x × sin x)dx + C = ∫1 dx + C = x + C.
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