set_cv2_problem

set_cv2_problem - Problem Set CV2 MMAE 501 Engineering...

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Unformatted text preview: Problem Set CV2 MMAE: 501 Engineering Analysis I Kevin W. Cassel Mechanical, Materials and Aerospace Engineering Department Illinois Institute of Technology 10 West 32nd Street Chicago, IL 60616 [email protected] Problem Reference Problem # 1: Hildebrand, Chapter 2, Problem 26 Problem # 2: Hildebrand, Chapter 2, Problem 27 Problem # 3: Hildebrand, Chapter 2, Problem 30 Problem # 4: Hildebrand, Chapter 2, Problem 40 Problem # 5: Hildebrand, Chapter 2, Problem 42 Problem # 6: Hildebrand, Chapter 2, Problem 43 c 2007 Kevin W. Cassel 1 Problem # 1 Derive the Euler’s equation of the problem δ Z x 2 x 1 F ( x,y,y ,y 00 ) dx = 0 in the form d 2 dx 2 ∂F ∂y 00- d dx ∂F ∂y + ∂F ∂y = 0 , and show that the associated natural boundary conditions are d dx ∂F ∂y 00- ∂F ∂y x 2 x 1 = 0 and ∂F ∂y 00 x 2 x 1 = 0 . Problem # 2 Specialize the results of Problem 1 in the case of the problem δ Z x 2 x 1 a ( x ) y 00 2- b ( x ) y 2 + c ( x ) y 2 dx = 0 ....
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set_cv2_problem - Problem Set CV2 MMAE 501 Engineering...

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