Your opinion on a class of ODE problems

[gestrickland]

Namir,

In your example equations, if you add the three together, you get d(A+B+C)/dt=0, which means A+B+C=M, M being a constant throughout the solution. I suppose this is your conservation of mass, actually embedded in the equations. If I am not missing something, you could use this equation to eliminate one of the unknowns, say A, from the remaining two equations, which you could then solve for B and C with the numerical method of your choice, at each step calculating A from the above conservation relation. Would not this work?

Gordon