Hello, Im having trouble trying to solve this equation(question). I used Dsolve but I think im inputting it wrong.
dn/dt=r n(1-n/k)
r is called the growth rate, and k is called the carrying capacity. n is the population, t is time. initial condition n = n0 at t = 0.
------> What is the symbolic solution? Also, If k = 100, n0 = 1 and r = 0.1, how long(t) until n = 50?
What I've tried...
DSolve[Derivative[1][n][t] == n^2*(1 - n/k)*r, n[t], t]
== ordinary differential equation of dn/dt = rn(1 - n/k)
Help?