MATH 2240 Midterm: Math 2240 Spring 2011
Document Summary
Friday, april 29, 2011 8:00 am-12:00 noon. You must circle your answers to each of the problems. However, only the correct answers will be counted. There will be no partial credit for the exam. The last sheet is a table of formulas for laplace transform: for each of the categories (i)-(iv) below, respond with all of the letters (a, b, and c) where the di erential equation matches the criterion. Letters may be used more than once. (a) tx (cid:19) y (cid:19) = (cid:18)cos y (cid:18)x (b) (c) x = . X x = y y = 3x + 6y (i) nonlinear (ii) linear (iii) autonomous. 2: let y(t) be the solution to the initial value problem y = 2ty + y, y(0) = 1. 3: a 100 gallon tank initially contains 40 gallons of salt-water solution containing 0. 1 lb of salt per gallon of water.
