EM-Quiz6 - MATH 3321 Quiz 6 2/22/10 1. If y = y (x) is a...

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MATH 3321 Quiz 6 2/22/10 1. If y = y ( x ) is a solution of x 2 y ±± +6 xy ± y = 0, then lim x →∞ y ( x ) = (Hint: the equation has solutions of the form y = x r .) (a) (b) 1 (c) 0 (d) Does not exist. (e) None of the above. 2. If y = y ( x ) is the solution of the initial-value problem y ±± - 4 y ± +3 y =0 ,y (0) = - 2 ± (0) = 2 , then y (ln 2) = (a) - 6 (b) 8 (c) 9 / 2 (d) 4 (e) None of the above. 3. The function y =5 xe 4 x is a solution of a second order, linear, homogeneous differential equation with constant coefficients. The equation is: (a) y ±± +8 y ± y (b) y ±± - 8 y ± - 12 y (c) y ±± - 8 y ± +16 y (d) y ±± y ± y (e) None of the above. 4. The function y =7 e 2 x is a solution of a second order, linear, homogeneous differential equation with constant coefficients. A possible equation is: (a) y ±± - 4 y ± +5 y (b) y ±± - 2 y ± - 8 y (c) y ±± y ± y (d) y ±± y ± - 10 y (e) None of the above. 1
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5. A particular solution of y ±± +4 y = 2 tan 2 x is (a) z = 1 2 cos 2 x ln | sec 2 x + tan 2 x | (b) z = - 1 2 cos 2 x ln | sec 2 x + tan 2 x | (c) z = - 2 sin 2 x ln | sec 2 x + tan 2 x | (d) z = 1 2 sin 2 x ln | sec 2 x
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This note was uploaded on 02/09/2011 for the course MATH 3321 taught by Professor Morgan during the Fall '08 term at University of Houston.

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EM-Quiz6 - MATH 3321 Quiz 6 2/22/10 1. If y = y (x) is a...

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