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Solving Non-linear Differential Equations using DSolve

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  • Subject: [mg109309] Solving Non-linear Differential Equations using DSolve
  • From: RBenf <rui.benfeitas at>
  • Date: Wed, 21 Apr 2010 04:31:41 -0400 (EDT)


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

Can anyone please help me figure out how to solve this error?

Thanks so much for all the help

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