MATH 2Z03 Quiz: math2z03_test2_Fall2013_v1.pdf
3 Dec 2014
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This test paper is printed on both sides of the page. There are 8 questions on pages 2 through 9. Pages 10 to 12 are blank for additional rough work. You are responsible for ensuring that your copy of the paper. Bring any discreapancies to the attention of the. Only the casio fx 991 calculator may be used. For full credit you must show all your work, except where indicated. Find the general solution to x(cid:48)(cid:48) + 16x = 2 sin(4t) using the method of undetermined coe cients. Solve y(cid:48)(cid:48) 6y(cid:48) + 9y = (24x2 x)e3x using variation of parameters. A horizontal beam of length 1 is embedded (i. e. xed) at the left end, but resting on a wall on the right end so that it is simply supported (i. e. hinged or pinned) at the right end. Find the downward de ection if a load w(x) = sin( x) is applied.
