EM-Quiz4 - MATH 3321 Quiz 4 2/3/10 1 1 y = 2 + 2, x x y (1)...

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MATH 3321 Quiz 4 2/3/10 1. If y = y ( x ) is the solution of the initial-value problem y ± + 1 x y = 1 x 2 +2 ,y (1) = 0, then y ( e )=: (a) 1 e + e (b) e (c) 1 e 2 (d) e - 1 e (e) None of the above. 2. The general solution of x dy dx - 3 y = x 3 y 1 / 3 is: (a) y 1 / 3 =2 x 3 + Cx 2 (b) y 2 / 3 = 2 3 x 3 + 2 (c) y 2 / 3 = 2 3 x 2 + 2 (d) y = 2 3 x 3 + - 2 (e) None of the above. 3. The general solution of yy ± = xe x 2 + y 2 is: (a) y 2 =ln ± 1 C - e x 2 ² (b) y 2 = C - e x 2 (c) y 2 = x C + e x 2 (d) y = ln( C - e x 2 ) (e) None of the above. 4. The family of orthogonal trajectories of the family y 2 = 3 - 1 is: (a) x 2 - 3 y 2 +2ln y = C (b) 3 y 2 - 2 x 2 +3ln y = C (c) 2 x 2 +3 y 2 +6ln y = C (d) 3 ln y - 2 x 2 - y 2 = C (e) None of the above. 1
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5. The family of orthogonal trajectories of the family of circles with center at the point (2 , 3) is: (a) y - 3= C x - 2 (b) y = ln( x - 2) + C (c) ( y - 3) = C ( x - 2) 2 (d) y - C ( x - 2) (e) None of the above. 6. If $100 is deposited in a bank that pays 6% interest compounded continuously, then the amount in the account at the end of 5 years is (a) $134.99 (b) $152.67 (c) $148.43 (d) $131.22 (e) None of the above.
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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-Quiz4 - MATH 3321 Quiz 4 2/3/10 1 1 y = 2 + 2, x x y (1)...

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