Homework1 - CEE511 Structural Dynamics Fall Semester...

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Fall Semester 2010-2011 Homework #1 (Due September 20, 2009) 1 - Trigonometry (Assume A and B are constants) a) ? ) sin( B A b) ? ) cos( B A c) Show ]) ) sin[( ] ) (sin[( 5 . 0 sin cos x B A x B A Bx Ax d) Show ]) ) cos[( ] ) (cos[( 5 . 0 cos cos x B A x B A Bx Ax e) State Euler’s Formula: e  tj = ? 2 - Differentiation (Assume k is a constant integer) a)  ? kx xe dx d b)  ? cos sin kx kx dx d c) ? sin x kx dx d d) ? ) ln(sin ) ln(sin lim 0  x x x 3 - Integration (Assume A , B , C and k are constant integers) a) ? ) sin( dx kx A b) ? ) sin( dx kx x c) ? ) cos( dx kx x d) ? )] ( sin[ ) sin( dx x C B Ax e) ? ) cos( ) sin( dx Bx Ax 4 - Ordinary Differential Equations (ODE) a) Solve: 0 2 2 ky dx dy c dx y d m Assume c =0.5, k =0.5, m =0.5, y (0)=1,  0 0 dx dy b) Solve:
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This note was uploaded on 02/03/2011 for the course CE 573 taught by Professor Various during the Spring '11 term at American University of Science & Tech.

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Homework1 - CEE511 Structural Dynamics Fall Semester...

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