MTH 286 Midterm: MTH 286 Cleveland State Test1s02
Document Summary
Write your name on the back of your test. 1. (10) use the guess and test method to solve the second order di erential equation initial value problem: d2y dt2 + 6 dy dt. + 8y = 0, y(0) = 2, y (0) = 1. 2. (10) solve the given initial value problem. dy dt t2 y + t3y y(0) = 2. Identify the equilibrium points as sinks, sources or nodes. 4. (15) solve the partially decoupled system dx dt dy dt. 5. (45) consider the pair of systems: (a) dx dt = 3x + 2xy (b) dx dt = 5x x2. 3xy dy dt = 5y + 3xy dy dt = 8y 3xy 3y2 x(t) and y(t) represent population of two di erent species. One system describes a competitive system in which both species are harmed by interaction, for example, cars and pedestrians.