How do you solve this differential equation?

[Jin314159]

The population growth of bacteria is proportional to the square of the population.

[cookiemonster]

dP/dt = kP^2
dP/P^2 = kdt
-1/P = kt + C

-1/Po = C

-1/P = kt - 1/Po = (Po*kt - 1)/Po

P = Po/(1 - Po*kt)

cookiemonster