> I am trying to find the analytical solution to this differential equation > > dR/dt = k1*(R^k2)*(1-(R/Rmax)); R(0) = Ro
> If there is an analytial solution to this differential equation then it It is a polynomial function of R, so just develop the expression and when you get the two terms in R (hint: one has exponent k2, the other k2+1) you can simply apply the basic integration rule for polynomials. It literally doesn't get easier than that. the resulting function is: k1/(k2+1) * R^(k2+1) - K1/[Rmax*(k2+2)] * R^(k2+2) + Ro scion ______________________________________________ R-help@r-project.org mailing list https://stat.ethz.ch/mailman/listinfo/r-help PLEASE do read the posting guide http://www.R-project.org/posting-guide.html and provide commented, minimal, self-contained, reproducible code.