MATH 2341 Quiz: MATH 2351 Quiz 2 Spring 2013

• School: Northeastern University
• Department: Mathematics
• Course: MATH 2341
• Professor: All

Document Summary

Quiz 2: 8 points consider the following predator-prey system: dx dt. = 2y(7 y) 5xy. (a) identify which variable represents the predator population, and which one represents the prey population. Which ones are larger, the predators or the preys? (b) find all the equlibrium solutions of this system: 8 points conside the following (partially decoupled) system: (a) find the general solution of this system. dx dt. = 2x + 3y. (b) find the solution satisfying x(0) = 1, y(0) = 0. Spring 2013 (a) convert the di erential equation y (t) = 3y (t) + 8y(t) 5y2(t) to a system of rst order di erential equations. You do not have to solve the system. (b) write the system dx1 dt. = 9x1 + x2 in matrix form: 10 points consider the linear system dx/dt = ax, where a = (cid:18)3.