# use of the implicit

• March 13th 2008, 07:44 PM
DINOCALC09
use of the implicit
If dy/dx = xy - y^2 and y(1) = 3, then y(2) is ?
• March 13th 2008, 09:04 PM
mr fantastic
Quote:

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 $Q(x) = -1$ ......