MATH 0290 Midterm: Math 0290 Exam 2 (0290) 2016 Sping -192
Document Summary
Show all your work (no work = no credit). Simplify your answers when possible: (15 points) by using laplace transform solve the initial-value problem y y = 6e 2t, y(0) = 0. Show all work: (15 points) use the heaviside function to rede ne the function g(t) =(1, sin(2 t), 0 t < 1 t 1 then nd laplace transform of g(t). Page 3: (15 points) for the initial-value problem y = y t + 1. , y(0) = 1 calculate the second iteration y2 of euler"s method with step size h = 0. 1. For the system of di erential equations x = x(6 2x 3y) y = y(1 x y) (a) (15 points) Page 5: (15 points) find general solutions y1(t) and y2(t) of the system y . Page 6 bonus problem (15 points extra) find all equilibrium points for the system of di erential equations x = 1 2y y = x sin x + xy.
