Statement-1: The degrees of dydx+y^2=x and d^2ydx^2+y= x are equal.

Question

Statement-1: The degrees of $\dfrac{dy}{dx}+y^2=x$ and $\dfrac{d^2y}{dx^2}+y=\sin x$ are equal. Statement-2: degree is the highest power of the highest-order derivative in a polynomial-type ODE.

Accepted Answer

Both equations have degree 1; Statement-2 correctly defines degree and explains Statement-1.

Solutions · 1