Statement 1: The degrees of the differential equations $$\dfrac{dy}{dx} + y^2 = x$$ and $$\dfrac{d^2y}{dx^2} + y = \sin x$$ are equal. Statement 2: The degree of a differential equation, when it is a polynomial equation in derivatives, is the highest positive integral power of the highest order derivative involved in the differential equation, otherwise degree is not defined.

A

Statement 1 is true, Statement 2 is true, Statement 2 is not a correct explanation of Statement 1.

B

Statement 1 is false, Statement 2 is true.

C

Statement 1 is true, Statement 2 is false.

D

Statement 1 is true, Statement 2 is true; Statement 2 is a correct explanation of Statement 1.