/sci/ - Science & Math

>>11203207
Pic related is the whole problem.
My first attempt at a solution was to solve for dt from dc/dt, then plug dt into the second equation, giving dT/dc = f(T,c) then getting it to f(t)dT = f(c)Ddc, then integrating to get c as a function of T, and T as a function of c. After which I can plug each into the original equation, integrate with respect to time, and be able to plot it.
Pic related is as far as I could get, couldn't find a way to separate c from T.
I asked the professor about it and was told not to do that, and to do it like >>11202994, and for example, in dc/dt, treat T as constant, and vice versa.
You can easily integrate dc/dt like that, but apparently not as easily or at all for dT/dt.