Re: two coupled differential equations

*To*: mathgroup at smc.vnet.net*Subject*: [mg121291] Re: two coupled differential equations*From*: Themis Matsoukas <tmatsoukas at me.com>*Date*: Wed, 7 Sep 2011 05:42:03 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com

> x1'[t] == -k1*x1[t] > x2'[t] == k2*x1[t]-k3*x2[t]/(k4+x2[t]) In this particular case the set can be reduced to a single differential equation: solve the first one (by hand!) and substitute the solution to the second one. You will get a single ODE for x2. Even better, obtain k1 by fitting the experimental data for x1(t) to the analytical solution and use the second equation to fit k2 thru k4. Themis