MATH 024 Study Guide - Midterm Guide: Scalar Multiplication, Main Diagonal, Triangular Matrix
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Math 24 spring 2009 - exam 3 solutions. Lecturer: boaz ilan: (32 points) consider the equation. Y (0) = -3 /2 y(0) = 0, Solution: (a) we need to find the characteristic roots. Using trey = gives r 2 - 9 = 0, r = 3. 3 (b) we can use one of two methods to find the particular solution: Undetermined coefficients (u. c. ) or variation of parameters (vop). It is probably easier in this case to use u. c. Since we do not want the guess to be similar to the homogeneous solution we need a factor of t. hence, the guess is y p ate. = ae -3t - 3ate -3t y p. = -6ae -3t + 9ate -3t y p. Plugging back into the de we get that. 2 te -3t . (c) general solution: y = yh. Inspecting this solution we conclude that, unless c.
