resolution of a system

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mouna 2011-5-14

good morning,

i have this systeme: (dC/dt)+(b*dC/dz)+(e*(dq/dt))=0; dq/dt=a*(q-(g*C));

b,e,a,g are constants how i can solve this problem in matlab?? thanks in advance

Walter Roberson 2011-5-14

Is C a function of both t and z ? If so then one solution is

C(t, z) = _C1+_C2*exp(a*(e*g+1)*t)
q(t) = (-_C2*exp(a*(e*g+1)*t)+e*g*_C1)/e

Notice that this C(t,z) is independent of z, making dC/dz zero

It appears to me that this system suffers from much the same problem that Andrew described to you earlier

mouna 2011-5-14

yes C depend of t and z

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