http://www.mapleprimes.com/questions/142805-Steady-State-Concentration en-us 2026 Maplesoft, A Division of Waterloo Maple Inc. Maplesoft Document System Sat, 13 Jun 2026 18:19:12 GMT Sat, 13 Jun 2026 18:19:12 GMT The latest answers and comments added to the Question, Steady state concentration http://www.mapleprimes.com/images/mapleprimeswhite.jpg http://www.mapleprimes.com/questions/142805-Steady-State-Concentration http://www.mapleprimes.com/questions/142805-Steady-State-Concentration?ref=Feed:MaplePrimes:Steady state concentration:Comments#answer142818 <p>In Maple syntax the ode can be written</p> <p>eq:=diff(z(t),t)=k*(1/2-z(t))*(1/3-z(t));</p> <p>Use dsolve to solve the ode. You need an initial value, say z(0) = z0.<br>Then the solution to the initial value problem is </p> <p>dsolve( { eq, z(0) = z0} );</p> <p>Be aware that there are two equilibria, z = 1/2 and z = 1/3. The one is asymptotically stable, the other is unstable.</p> <p>In Maple syntax the ode can be written</p> <p>eq:=diff(z(t),t)=k*(1/2-z(t))*(1/3-z(t));</p> <p>Use dsolve to solve the ode. You need an initial value, say z(0) = z0.<br>Then the solution to the initial value problem is </p> <p>dsolve( { eq, z(0) = z0} );</p> <p>Be aware that there are two equilibria, z = 1/2 and z = 1/3. The one is asymptotically stable, the other is unstable.</p> 142818 Wed, 30 Jan 2013 19:26:40 Z Preben Alsholm Preben Alsholm