Given, (photo attached) please use Theorem 4.5 to prove that the equilibrium point at origin is unstable.
Posted: Tue Apr 26, 2022 2:20 pm
Given, (photo attached) please use Theorem 4.5 to prove that the equilibrium point at origin is unstable.
2 Xi t 1 ( (t 2 2 ()= x, + 3x, sin ? x2 + 5x, x2 sin ? x, x 2 ()=3x, sin ? x2 + x, - 5x* x, cos ? x, t ( 2 X = X 2 2 1 1 2 2 V(x,1)=6? -x) = 2 2
2 Xi t 1 ( (t 2 2 ()= x, + 3x, sin ? x2 + 5x, x2 sin ? x, x 2 ()=3x, sin ? x2 + x, - 5x* x, cos ? x, t ( 2 X = X 2 2 1 1 2 2 V(x,1)=6? -x) = 2 2