MATH 263 Study Guide - Canadian English, Final Examination, Integrating Factor
1 Dec 2014
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Instructions: this is a closed book exam. All solutions are to be written on the page where the problem is printed. You may continue your solutions on the facing page. If that space is exhausted you may continue on the blank pages at the end, clearly indicating any continuation on the page where the question is printed. This exam comprises the cover page, eight pages of questions numbered 2 to 9, ve blank pages numbered 11 to 15, and the table of laplace transforms. April 23, 2012: (9 points) consider the following ode: y + (2xy e y)y(cid:48) = 0. (a) determine whether or not it is an exact equation. If it is not, then nd an integrating factor for the equation. (b) find the general solution of the equation. Solution: (a) it is not exact equation; it has the integrating factor (b) the general solution is e2y y. (y) = (cid:26) xe2y ln|y| = c, y = 0.
