​ The general solution of the DE dy/dx + y cot x = 2 cos x is A. (y + sin x)sin x = C ​

Question

The general solution of the DE \(\frac{dy}{dx}\) + y cot x = 2 cos x is

A. (y + sin x)sin x = C

B. (y + cos x ) sin x = C 

C. (y – sin x ) sin x = C 

D. None of these

Answer 1

(y-sin x)sin x = C

Conclusion: Therefore, (y-sin x)sin x = C is the solution of \(\frac{dy}{dx}\) + y cot x = 2 cos x