- #1
hzzhangyu
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Homework Statement
In a problem I was given a system of three differential equations concerning three functions, x(t), y(t) and z(t):
dx(t)=2y(t)dt,
dy(t)=[z(t)-x(t)]dt,
dz(t)=[c^2x(t)-2y(t)]dt. (where c is a constant)
The problem asked me to prove that when t is large, x(t)+z(t) converges to K*exp{wt},
where w is a positive real root of equation w^3+4w-2c^2=0,
Homework Equations
The Attempt at a Solution
I haven't studied how to solve this kind of ODE system in my calcus class, so now I am stuck at the beginning of this question. If you are willing to take time to look at it for me, I will be real grateful for that. Thanks!