APPM 2360 Final: appm2360spring2015examfinal_sol
Document Summary
On the front of your bluebook write: (1) your name, (2) your student id number, (3) lecture section, (4) your instructor"s name, and (5) a grading table for eight questions. Text books, class notes, and calculators are not permitted. In acknowledgment of attending the nal exam, please sign and return your exam paper in your bluebook. Problem 1 (30 points): (i) (15 points) solve the following ode (ii) (15 points) consider the nonlinear ode ty = (t + 2)y + t3et y = y2 t2 yt. Using the v-substitution v = (y/t) nd the rst order ode satis ed by v. do not solve the. Integrating factors = exp( r 1 + 2/tdt) = t 2e t. Thus d dt (cid:0)t 2e ty(t)(cid:1) = 1 y(t) = t2et(c + t) (ii) v = y/t implies y = vt and y = v t + v. Problem 2 (30 points): alice is a graduate student in chemistry.
