amcqueen101
New member
- Joined
- Mar 7, 2019
- Messages
- 3
dCs/dt = gCs(1-Cs/Csmax) - K*(X/Y + c/exp(Yt));
Hello,
The above equation is the one in which I am struggling with, I was curious is this could be solved analytically at all? (I have a numerical solution to the problem). The initial condition for Cs is 0.7 (as it stands) but may change. All other variables (except t) are just constants.
As an engineer I only recall learning how to solve first order ODEs using integrating factor or by separation. The former doesn't hold as the problem is nonlinear and the latter doesn't hold as the equation isn't separable.
If anyone could help, would be greatly appreciated.
Ally
Hello,
The above equation is the one in which I am struggling with, I was curious is this could be solved analytically at all? (I have a numerical solution to the problem). The initial condition for Cs is 0.7 (as it stands) but may change. All other variables (except t) are just constants.
As an engineer I only recall learning how to solve first order ODEs using integrating factor or by separation. The former doesn't hold as the problem is nonlinear and the latter doesn't hold as the equation isn't separable.
If anyone could help, would be greatly appreciated.
Ally