APPM 2360 Midterm: appm2360spring2015exam3_sol
Document Summary
On the front of your bluebook write: (1) your name, (2) your student id number, (3) lecture section (4) your instructors name, and (5) a grading table for ve questions. Text books, class notes, and calculators are not permitted. You finish: turn in both your bluebook and a signed exam paper, and write your name on one of the sign out sheets. Without solving, write down the form of the particular solution. Part (a) set y(t) = ert and deduce r(r + 2) = 0 such that r1 = 0 and r2 = 2. This give the homogeneous solution yh(t) = c1 + c2e 2t. The guess for the particular solutions solving for non homogeneous term 4t is given as yp(t) = t( t + ) where y p(t) = 2 t + y p (t) = 2 . Thus 2 + 2(2 t + ) = 4t such that = 1, = 1 giving yp1(t) = t2 t.
