A population (in organisms) obeys with

MATHEMATICS · Subjective · AP · Calculus BC · Differential Equations · Differential Equations

Problem

A population P(t)P(t) (in organisms) obeys dPdt=0.3 P(1−P1000)\dfrac{dP}{dt}=0.3\,P\left(1-\dfrac{P}{1000}\right) with P(0)=100P(0)=100. Find an explicit expression for P(t)P(t) valid for t≥0t\ge 0.

Related theory

Browse the problem library