Ode and monod solver

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AIKATERINI KOLIOUKOU
AIKATERINI KOLIOUKOU le 11 Jan 2021
i know the values of μ_max, Y, Ks , the initial S (S(0)) the final S and the time Tb that I want to find the specific final S, how can I find the Xa????
Can I use Runge Kutta?

Réponse acceptée

Alan Stevens
Alan Stevens le 12 Jan 2021
Your equation has the following analytic solution (assuming Xa is a constant):
You can plug in the known values for S0 (ie. the value of S at time t=0) and the values for t = tend and S at t=tend, then rearrange to get Xa.

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