Autonomous Differential Equations and Phase Lines

a. Identify the equilibrium values. Which are stable and which are unstable?

b. Construct a phase line. Identify the signs of y ‘ and y ‘'

c. Sketch a representative selection of solution curves.

1.1 The Basics of Algebra A. Evaluate B. Translate C. Number sets ● Real Numbers ○ Rational: You know exactly which digit comes next, ex: ⅓ = . 3333... ■ Integers ● Whole numbers: 0, 1, 2, 3, 4......