Question 3.11. Suppose that č + f(x)i + g(x) = 0 = where f(x) and g(x) are continuously differentiable, g(0) = 0, and f(

[answerhappygod]

Question 3 11 Suppose That C F X I G X 0 Where F X And G X Are Continuously Differentiable G 0 0 And F 1 (78.25 KiB) Viewed 43 times

Question 3.11. Suppose that č + f(x)i + g(x) = 0 = where f(x) and g(x) are continuously differentiable, g(0) = 0, and f(x) > 0, xg(x) > 0 in a neighbourhood of the origin excluding x = 0. • Show that the system is equivalent to C i =y- - $*s(u)du, 0 y = -9(x), and that there is an equilibrium point at the origin of R2. • Define the Lyapunov function as V (819) = + *olu) du, x, y and show that the origin is asymptotically stable.