MATH 2065 Midterm: MATH 2065 LSU s05Exam 3a
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 copy of the table of laplace transforms from the text will be provided: [16 points] solve: 2t2y + 7ty 3y = 0. This is a cauchy-euler equation with indicial polynomial q(s) = 2s(s 1) + 7s 3 = 2s2 + 5s 3 = (2s 1)(s + 3), which has the two distinct real roots 1/2 and 3. Hence the general solution is y = c1 |t|1/2 + c2 |t| 3 : [16 points] solve: y + y 6y = 3e2t. This equation could be solved either by the method of undetermined coe cients or variation of parameters, or it could be solved directly by use of laplace transforms.
