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MathGroup Archive 2013

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steady state concetration

  • To: mathgroup at smc.vnet.net
  • Subject: [mg129621] steady state concetration
  • From: jeremy <j.witoslawska at gmail.com>
  • Date: Wed, 30 Jan 2013 22:05:12 -0500 (EST)
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Hi,
i'm new in Mathematica and i've a project to do. i've to find at what time 90% of the steady state concetration of C is achieved. and soo far i have something like that, for 3 different k values:

With[{k = 0.3}, eqn1s = 0 == k (1/2 - z[t]) (1/3 - z[t])];
With[{k = 0.6}, eqn2s = 0 == k (1/2 - z[t]) (1/3 - z[t])];
With[{k = 0.9}, eqn3s = 0 == k (1/2 - z[t]) (1/3 - z[t])];
Evalute[{eqn1s, eqn2s, eqn3s}]
NSolve[Evaluate[{eqn1s, eqn2s, eqn3s}], z[t]]

and what i get in NSolve is supposedly be the steady state, but i don't know how to find this 90% and my profesor told me that i could try do this with DSolve, but something doesn't work. i hope that someone will be able to help me with this. 

Thanks



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