How to solve and plot differential equations in R?

Question

Taken from Sal Khan's lecture https://www.youtube.com/watch?v=oiDvNs15tkE of the Khan academy, if I know that dN/dt=rN(1-(N/K)) (the logistic differential equation) How can I solve for N and plot the N=f(t) with R? Thanks

Answer 1

If you solve the DE analytically then you can write a function for N(t) in R and plot the function along an interval.

However, if you want to keep everything solved numerically and contained in your R code, then using the deSolve package is likely your best solution. This package provides functions to numerically solve IVP ODEs (among others) with function value output for a specified time interval.