A nonlinear process with two states x1 and x2 is described as dot x1(t) = α x₁(t) + x₂(t) 2 ⋅ x₂(t) = x₁ + β x₂
where α, β > 0
a) Find the equilibrium points (HINT: there are two)
b) Linearize the model about each equilibrium point. Since we haven't modeled input, state your result in the form dot x = Ax .
