Mathematics · JEE | DIFFERENTIAL EQUATIONS

Consider the following statements regarding differential equations: (A) The order of a differential equation is always a positive integer. (B) The degree of a differential equation, if defined, is always a positive integer. (C) The differential equation \( \frac{dy}{dx} + \sin(\frac{dy}{dx}) = 0 \) has a well-defined degree. (D) The general solution of a first order differential equation contains one arbitrary constant. Which of the above statements are correct?

1. A
   (A), (B) and (D) only
2. B
   and (C) only
3. C
   (B), (C) and (D) only
4. D
   (A), (B), (C) and (D)