MAT 131 Midterm: MAT 131 SBU Fall11 Exam

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 131
• Professor: All

Document Summary

Note: midterm ii from a previous quarter and its solutions will be posted on the course website, http://math. stanford. edu/ azinger/math53, by saturday, 11/13. Transforms of y and of y are given by. {ly }(s) = s3y (s) s2y(0) sy (0) y (0). (b) find the solution to the initial value problem y + 3y + 3y + y = et, y(0) = 0, y (0) = 0, y (0) = 1. Clearly show all important qualitative information, including the direction of rotation. y =(cid:18) 1. Find the general solution to the system of linear odes. Problem 3 (x = y 3x y = x y y = y(t). Determine whether the origin is a stable, asymp- totically stable, or unstable equilibrium. (a) let a be a square matrix. Problem 4 (c) find the solution to the initial value problem. 0 2(cid:19). (b) compute eta for a =(cid:18) 2 3 y =(cid:18) 2 3. 0 2(cid:19) y +(cid:18) 6t y(0) =(cid:18) 1.