Chapter 4: More Examples on Stability

Find the equilibria (steady state solutions) and classify each of them as either stable, unstable, or semi-stable.

Example 1

(dx/dt)=(x^3)-4x.

Example 2

(dx/dt)=(tan^(-1))(x)+2sin(x)

Example 3

(dx/dt)=(((x+2))^3)(((x-3))^2)(((x-4))^5)

Example 4

(dy/dx)=(e^(-y))sin(y)