How to solve DE with irreducible quadratic

[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
Thanks in advance.

 

[rock.freak667]

Try writing your DE as

<br /> \frac{1}{-P^{2}+10P-26} \frac{dP}{dt}=1


then complete the square for -P^{2}+10P-26, and try a trig substitution.