Indicate which of the following differential equations are separable

MATHEMATICS · Subjective · A Level · Mathematics · Differentiation · Differentiation

Problem

Indicate which of the following differential equations are separable, writing “S” for separable or “NS” for non-separable. (i)

\displaystyle \frac{dy}{dx}=(x^{2}+1)(y^{2}-1)

(ii)

\displaystyle \frac{dy}{dx}=(x+y)^{2}