MATH 2552 Midterm: MATH 2552 GT ReviewMidterm1
Document Summary
Section 1. 2 and section 2. 5: autonomous di erential equations: nd equilibrium solutions (also called critical points or stationary points), draw phase lines, sketch integral curves, and determine whether a critical point is asymptotically stable, semistable or unstable. Section 1. 3: de nition of linear and nonlinear di erential equations. Section 2. 2: solve rst order linear di erential equations by using integrating factors. Section 2. 3: modeling - in particular write down a di erential equation to model a problem and then solve the di erential equation. Section 2. 4: theorem 2. 4. 1, theorem 2. 4. 2 and the applications (see hw problems). Section 2. 5: requirements are the same as section 1. 2. 3 chapter 3: systems of two rst order equations. Section 3. 1: fine all eigenvalues and eigenvectors of a given matrix. Section 3. 2: matrix notation for system of rst order linear di erential equations.
