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Topic: Solving Non-linear Differential Equations using DSolve in Mathematica
Replies: 1   Last Post: Sep 23, 2011 12:57 PM

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Solving Non-linear Differential Equations using DSolve in Mathematica
Posted: Apr 20, 2010 10:01 AM

Hello!

I'm having a problem solving non linear ordinary differential
equations: when I try to solve this system, I get this error
"Equations may not give solutions for all "solve" variables."

The system is this:

DSolve[{X8'[t] == C1 - C2 - k1*X1[t]*X8[t], X8[t1] == X8t1,
X2'[t] == (-k2)*X2[t] + k1*X1[t]*X8[t],X2[t1] == X2t1,
X3'[t] ==k2*X2[t] - k4*X3[t]*X4[t],X3[t1] == X3t1,
X1[t] == PT - X2[t] - X3[t],
X4'[t] == (-k4)*X3[t]*X4[t] + k5*X5[t],X4[t1] == X4t1,
X5[t] == TRXT - X4[t]},
{X1[t],X8[t],X2[t],X3[t],X4[t],X5[t]}, {t}]/.t->t1 + d T