# How to solve DE with irreducible quadratic

1. Sep 29, 2008

### TOD

I'm fine solving DE with a reducible quadratic, but what happens when the quadratic is irreducible, how would I go about solving the DE? So for example,
$$\frac{dP}{dt}=-P^{2}+10P-26$$

2. Sep 29, 2008

### rock.freak667

$$\frac{1}{-P^{2}+10P-26} \frac{dP}{dt}=1$$
then complete the square for $-P^{2}+10P-26$, and try a trig substitution.