APPM 2360 Midterm: appm2360spring2017exam1_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. Text books, class notes, cell phones and calculators are not permitted. A one page (letter sized 1 side only) crib sheet is allowed. [30 pts, 5 pts each] consider the statements below and determine whether they. After a time 3 t1/2, one sixth of the initial amount has not undergone radioactive decay yet. 2 sin t is unde ned at (1, 0). Hence the conditions of picard"s theorem are not veri ed for initial condition (t0, y0) with t0 = 1 and y0 = 0. 2 y 1 (c) true. f (t, y) = y (d) true. dy (e) false. Only true for linear homogeneous equations, but y + 2y y2 = 0 is non linear. (f) false. After 3 t1/2, the amount of material that has not decayed yet is (1/2)3 = 1/8.
