Solve by separation of variables:
dP/dt = P-P^2
This is what I have so far:
P/(P-1)=ce^t
but I need to get that to:
P=(ce^t)/(1+ce^t)
Any help would be greatly appreciated.
Thanks!
oh wait. i made an error. i wrote P(P - 1) when it should have been P(1 - P). that changes things a bit.
......through algerba, or partial fractions if you want to work hard
this is a quadratic in P, use the quadratic formula to solve for P, so:
now simplify ... er, if you can, or want to