Hi, I am a kidney doctor and do research into how the body excretes various substances. I have developed a model in Matlab/Simulink that uses ordinary differential equations; I've had to teach myself some diff eq to do this part of my research, which has been fun but frustrating. Can anybody help with this diff eq:
dC/dt + KC/V = G/V
where K, V, and G are all constants and C of course changes over time?
This is in the form of a linear differential equation. I am beginning to understand the basic approach of using an integrating factor (e ^ kt/V in this case I believe), but am having trouble getting a solution that is expressed in terms of the variables above (even though they are all just constants and could be replaced by "N," for my purposes it's actually important to retain the "V" and "G" as constant variables, and examine the solution as such.
Any help would be greatly appreciated!