APPM 2360 Midterm: archive_appm2360summer2018exam1_sol
Document Summary
On the front of your bluebook write: (1) your name, (2) your instructor"s name, (3) your recitation section number and (4) a grading table. Textbooks, class notes, cell phones and calculators are not permitted. A one page (letter sized 1 side only) note sheet is allowed. Problem 1: (40 points) answer each part of this question with true or false. Do not write t or f. provide a brief one sentence justi cation. (a) let y 2ty2 = 0. Problem 2: (40 points) (a) what are the two conditions a linear operator, l, must satisfy? (b) consider the following word bank autonomous linear nonlinear homogeneous nonhomogeneous separable 1st order. Remember, phase lines show any equilibria, each equilibrium"s stability, and slope arrows. Just using the phase line (i. e. , without computing the solution), determine the long-term behaviour of the solution to the equation with the initial condition y(0) = 0.
