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Quiz5 - MAE 105 Quiz#5(Closed book/notes/calculator Name...

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MAE 105 Quiz #5 (Closed book/notes/calculator) Name: ______________________________ Time: 3:35 to 3:55pm Date: May 17, 2007 Problem 1 (2.5 points) Consider: 1 1 2 2 u t u x tu t x ° ± + + = ² ³ L l (†) ( ) 0 0 ,0 cos u x x = . a. (1 point): Find the expression for the characteristic that renders (†): 1 2 du tu dt = (‡) b. (1 point): Integrate (‡) to obtain u in terms of t . [Note: the solution must include a constant of integration.] c. (0.5 points): Use the initial condition to obtain the final complete solution. Problem 2 (2.5 points) Consider:
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