MATH 2065 Midterm: MATH 2065 LSU s18exf
Document Summary
Answer each of the questions on your own paper. Put your name on each page of your paper. Be sure to show your work so that partial credit can be adequately assessed. Credit will not be given for answers (even correct ones) without supporting work. A table of laplace transforms and the statement of the main partial fraction decomposition theorem have been appended to the exam. In exercises 1 8, solve the given di erential equation. If initial values are given, solve the initial value problem. Some problems may be solvable by more than one technique. Final exam: [18 points] let a =(cid:20) 2. 4 (a) compute (si a) 1. (b) find eat = l 1 {(si a) 1}. (c) find the general solution of the system y = ay. 3 (cid:21). (d) solve the initial value problem y = ay, y(0) =(cid:20) 2: [12 points] a tank initially contains 2000 gallons of water with 100 pounds of salt dissolved.
