# EM-Quiz1 - dy dx = 3 y is(a y = e 3 x(b y = Ce-3 x(c y = e...

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MATH 3321 EMCF Quiz 1 1/20/10 1. ± ln x x dx = (a) ln(ln x )+ C (b) 1 2 (ln x ) 2 (c) (ln x )+ C (d) 1 2 (ln x ) 2 + C (e) None of the above. 2. ± dx 4+ x 2 = (a) 1 2 ln(4 + x 2 )+ C (b) 1 2 tan - 1 x + C (c) tan - 1 ( x/ 2) + C (d) 1 2 tan - 1 ( x/ 2) + C (e) None of the above. 3. ± x cos 2 xdx = (a) x cos 2 x - 1 2 sin 2 x + C (b) 1 2 sin 2 x + 1 4 x cos 2 x + C (c) 1 2 x sin 2 x + 1 4 cos 2 x + C (d) 1 2 x sin 2 x - 1 4 cos 2 x + C (e) None of the above. 4. ± x ln xdx = (a) 1 2 x 2 ln x - 1 4 x 2 + C (b) x 2 ln x - 1 2 x 2 + C (c) 2 x 2 ln x - x 2 + C (d) x ln x - x + C (e) None of the above. 1

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5. The order of the diﬀerential equation d 2 y dx 2 +4 x dy dx + y cos x = d 3 ( e 2 x ) dx 3 is: (a) 1 (b) 2 (c) 3 (d) 4 (e) None of the above. 6. The order of the diﬀerential equation 2 u ∂x 2 + 3 u ∂x 2 ∂y + ∂u ∂y = xyu 4 is: (a) 1 (b) 2 (c) 3 (d) 4 (e) None of the above. 7. The set of all solutions of y ± - 6 x =4 e 2 x is: (a) y =3 x 2 +2 e 2 x + C (b) y =3 x 2 +2 e 2 x (c) y =3 x 2 +2 e 2 x + Cx (d) y =2 e 2 x - 3 x 2 + C (e) None of the above. 8. The set of all solutions of
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Unformatted text preview: dy dx = 3 y is: (a) y = e 3 x (b) y = Ce-3 x (c) y = e 3 x + C (d) y = Ce 3 x (e) None of the above. 2 9. The set of all solutions of y ±± = 12 x 2-4 cos 2 x + 6 is: (a) y = x 4-cos 2 x + 6 x + Cx (b) y = x 4 + sin 2 x + 3 x 2 + C (c) y = x 4 + cos 2 x + 3 x 2 + C 1 x + C 2 (d) y = x 4-sin 2 x + 6 x 2 + C 1 x 2 + C 2 x (e) None of the above. 10. The value(s) of λ such that y = e λx is a solution of y ±±-5 y ± + 6 y = 0 are: (a) λ = 5 (b) λ = 3 , λ = 2 (c) λ =-1 , λ = 5 (d) λ =-3 , λ =-2 (e) None of the above. 3...
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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-Quiz1 - dy dx = 3 y is(a y = e 3 x(b y = Ce-3 x(c y = e...

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