ODE system (engineering problem)

rafael0bo

New member
Joined
Nov 16, 2015
Messages
1
Hi guys. I have an assignment to do where one of the steps is to find an expression for biomass growth through time - X(t). This expression should be only time-dependant, but I can't manage to separate the S(t) term form the expression. Both X(t) and S(t) depend on each other, but given initial conditions (X0 and S0) they should both be time-dependant only. As the engineering works don't really matter here, IN SUMMARY what I need to solve is the term in the bottom (to the right of the bracket). I don't know if any series expansions will be necessary, but just in case Ks<S(t) in all cases. If you can't give me the solution, anything that at least gives me a hint is very welcome. Thank you!
attachment.php
 

Attachments

  • WIN_20151116_20_53_02_Pro.jpg
    WIN_20151116_20_53_02_Pro.jpg
    106.5 KB · Views: 13
Top