Message-ID: <AANLkTi=MTOiKMaZtXHh-tYxgZWkMTTA3jesLMkqDQfZ1@mail.gmail.com>
Date: 2010-12-15T17:27:49Z
From: Scionforbai
Subject: Solution to differential equation
In-Reply-To: <AANLkTikiXEJj9aX4gFapZaMUdjiRK9UxF8_gKXgLHiza@mail.gmail.com>
> 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