MATH 265 Study Guide - Midterm Guide: Phase Portrait
Document Summary
Do not open this test until instructed to do so! This exam should have 20 pages, including this cover sheet. The table of laplace trans- forms is on page 20. You do not need to submit it with the exam. This is a closed book exam; no textbooks, calculators, laptops, formula sheets or other aids are allowed. Turn o any cell phones, pagers, etc. that could make noise during the exam. Each of the following problems is worth 6 points. 1a) [6] find the inverse laplace transform of. F (s) = s 1 s2 + s + 1. 1b) [6] compute the convolution of f (t) = t and g(t) = t2. 1c) [6] find the laplace transform of the function f (t) = . 1d) [6] place a condition on the value of k such that the solution of exhibits oscillations. 1e) [6] find all values of such that the system d~x dt.
