APPM 2360 Midterm: appm2360fall2015exam1_sol
Document Summary
Instructions: books, notes, and electronic devices are not permitted. Write your (1) name, (2) instructor"s name, (3) recitation number on your bluebook. Note that a correct answer with incorrect or no supporting work may receive no credit, while an incorrect answer with relevant work may receive partial credit. A one page, single sided crib sheet is allowed: (20 points) the following true/false questions are unrelated. If the statement is always true write true, otherwise write false. Note that since the ode is linear, the solution is a sum of the solution to the corresponding homogeneous equation x (t) + p(t)x = 0 and a particular solution. Now, x1(t) x2(t) solves the homogeneous equation since, x (x1(t) x2(t)) + p(t) (x1(t) x2(t)) = 0. Since x1(t) is a particular solution, x1(t) + c(x1(t) x2(t)) is a general solution to the non-homogeneous ode. 1(t) + p(t)x1 = f (t) and x .
