EM-Quiz5 - MATH 3321 Quiz 5 2/14/10 1. The general solution...

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MATH 3321 Quiz 5 2/14/10 1. The general solution of y ±± - 2 y ± - 15 y = 0 is: (a) y = C 1 e - 5 x + C 2 e - 3 x (b) y = C 1 e 5 x + C 2 e - 3 x (c) y = C 1 e - 5 x + C 2 e - 3 x (d) y = C 1 e - 5 x + C 2 e 3 x (e) None of the above. 2. The solution of the initial-value problem y ±± +8 y ± +16 y =0 ,y (0) = 1 ± (0) = 2 is: (a) y = e - 4 x - 6 xe - 4 x (b) y = 1 2 e - 4 x + 3 2 e 4 x (c) y = e 4 x - 2 xe 4 x (d) y = e - 4 x +6 xe - 4 x (e) None of the above. 3. A fundamental set of solutions of y ±± - 2 y ± +10 y = 0 is: (a) { e x cos 3 x, e x sin 3 x } (b) { e 3 x cos x, e 3 x sin x } (c) { e - x cos 3 x, e - x sin 3 x } (d) { e - 3 x cos x, e - 3 x sin x } (e) None of the above. 4. y ±± - 1 x y ± - 8 x 2 y = 0 has solutions of the form y = x r . A fundamental set of solutions of the equation is: (a) { x 8 ,x - 1 } (b) { x 4 - 2 } (c) { x - 4 2 } (d) { x 8 } (e) None of the above. 1
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5. y = C 1 e 2 x + C 2 e - 5 x is the general solution of a second order linear differential equation. The equation is: (a) y ±± + y ± - 10 y =0 (b) y ±± - 3 y ± - 10 y (c) y ±± +3 y ± - 10 y (d) y ±± - 2 y ± +10 y (e) None of the above.
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EM-Quiz5 - MATH 3321 Quiz 5 2/14/10 1. The general solution...

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