MATH 251 Final: MATH 251 PSU M251Final(fa07)
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This exam has 15 questions for a total of 150 points. In order to obtain full credit for partial credit problems, all work must be shown. Credit will not be given for an answer not supported by work. The point value for each question is in parentheses to the right of the question number. You may not use a calculator on this exam. Please turn off and put away your cell phone. 2(s 1)e 2s s2 2s + 2 (a) 2u(t 1)et cos t (b) 2u(t 2)et 2 cos(t 2) (c) 2u(t 2)et 2 sin(t 2) (d) 2u(t 2)et sin t. December 20, 2007: (6 points) which of the following initial value problems has more than one solution? (a) y = 2y, y(0) = 0 (b) y = y. What is the type and stability of the critical point (0, 0)? (cid:26) = . = y2 cos(t) y(0) = 1 is given by: (a) y = t (b) y =
