$\frac{dy}{dx}=\frac{y+x}{y-x}$

Calculus Level 4

Consider the differential equation $\dfrac{dy}{dx}=\dfrac{y+x}{y-x}$ .

Given that when $x=1$ , $y$ can take the values 0 and 2, what is the product of the two possible values of $y(5)$ ?

dydx=y+xy−x\frac{dy}{dx}=\frac{y+x}{y-x}dxdy​=y−xy+x​