# Thread: use of the implicit

1. ## use of the implicit

If dy/dx = xy - y^2 and y(1) = 3, then y(2) is ?

2. Originally Posted by DINOCALC09
If dy/dx = xy - y^2 and y(1) = 3, then y(2) is ?
Re-arrange into $\frac{dy}{dx} - x y = -y^2$ and it's clearly a Bernoulii differential equation with n = 2, $P(x) = -x$ and $Q(x) = -1$ ......