Solution to differential equation
ODEs don't get much easier than this... integration by parts is overkill. See the posting guide re homework.
"mahesh samtani" <msamtani at gmail.com> wrote:
Hello, I am trying to find the analytical solution to this differential equation dR/dt = k1*(R^k2)*(1-(R/Rmax)); R(0) = Ro k1 and k2 are parameters that need to fitted, while Ro and Rmax are the baseline and max value (which can be fitted or fixed). The response (R) increases initially at an exponential rate governed by the rate constants k1 and k2. Response has a S-shaped curve as a function of time and it approaches the value of Rmax at time approaches infinity. If there is an analytial solution to this differential equation then it makes my life easier when trying to perform some non-linear regression. Kindly provide the integration process so I can learn how to do it myself for future reference. I believe that the way would be to use integration by parts (I tried hard to find the solution but keep getting stuck). Please help, Mahesh [[alternative HTML version deleted]]
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