Question

The general solution of the differential equation \[ \frac{dy}{dx} + \sin(x + y) = \sin(x - y) \] is

• A. \( \log \tan \frac{y}{2} + \sin x = C \)
• B. \( \log \tan \frac{y}{2} + \log \sin x = C \)
• C. \( \tan \frac{y}{2} + \log \sin x = C \)
• D. None of these

Hint:

When solving differential equations, use separation of variables and integration to find the general solution.

Answer 1

The Correct Option is B