Hello to everyone. I need to solve differential equations system and when I run the code, the computation process does not come to an end. How could I fix this problem? Any assistance would be highly appreciated. Thanks a lot.
k = 1230002/10^8;
m = k/(k + 1);
\[Xi] = 1/2 (1 - 2 m);
A = 2/\[Xi];
t] == (z2[t]*
Sqrt[4 - (A*z2[t] + 1)^2/3])/(\[Xi]*(A*z2[t] + 1)^1/3),
z2 == 7/2*\[Xi]}, z2[t], t]
I would use NDSolve since it is numerical. However, Your initial condition is not valid:
(z2[t]*Sqrt[4 - (A*z2[t] + 1)^2/3])/(\[Xi]*(A*z2[t] + 1)^1/3) /.
z2[t] -> 7/2*\[Xi]
(7 I Sqrt)/8