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Question: Solving differential equations

Question:Solving differential equations

jonlg 55 Maple 17
solve differential-equation
December 23 2014
1

Hi there,
I have the following set of equation which I want to solve using Maple's dsolve command:

d[V(t)*C(t)]/dt = G - K *C(t)
dV(t)/dt = alpha - beta

where V is the volume, C is the concentration, and t is the time variable. G, K, alpha and beta are constant parameters of the problem.


The solution for V(t) is easy to find operating the second equation:
V(t) = V_0 + (alpha - beta)*t

But solving for C(t) is a bit harder.

I would like Maple to solve the system, but the result I get does not really make sense to me. My attempt is this: Maple_artificial_kidney.mw

Any thoughts about how to introduce the equations successfully?

Thank you,
jon
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