\(\frac{dy}{dx}=\frac{y+x}{y-x}\)

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 \(y(5)\)?