MATH 2552 Midterm: MATH 2552 GT 2a 2017
Document Summary
This exam covers chapter 3, chapter 7 (sections 1-4), and part of chapter 4 of brannon and boyce. The exam covers some material on rst order systems and second order linear. Name and section: (cid:26) x = 3x 4y y = x + 3y. Solution: this system can be written as y (cid:19) (cid:18) x or simply. = (cid:18) 3x 4y x + 3y (cid:19) = (cid:18) 3 4. 1: (17 points) (3. 2. 21) give a rst order system which is equivalent to the single ode. Name and section: y + 3y y = 0. Solution: letting x1 = y be one unknown in our system, we de ne two more un- knowns by x2 = x : the equivalent rst order system is then. 1 and x3 = x or simply x = x . Name and section: (17 points) (3. 3. 11) solve the linear system of odes and plot the phase diagram. x = (cid:18) 2 1.
