Final W2010

Final W2010 - (t- ) 1/s unit step u(t) 0 t < a 1...

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N F(s) f ( t ) , t > 0 definition of a Laplace transform y(t) Y(s) inversion formula sY(s) - y(0) first derivative y ' (t) second derivative y " (t) nth derivative (1/s) F(s) integration F(s)G(s) convolution integral f ( α t) F(s - α ) shifting in the s-plane exp(- α t) f(t) f(t) has period T, such that f( t + T ) = f (t) g(t) has period T, such that g(t + T ) = - g(t)
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Function Transforms N F(s) f ( t ) , t > 0 1 δ (t) unit impulse at t = 0 s double impulse at t = 0
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Unformatted text preview: (t- ) 1/s unit step u(t) 0 t < a 1 a < t < b 0 t > b u(t- ) t , n=1, 2, 3,?. , k is any real number > 0 the Gamma function is given in Appendix A exp(- t) t exp(- t) 1 - exp(- t) sin( t) sin( t + ) cos( t) t cos( t) exp(- t)sin( t) exp(- t)cos( t) cosh( t) + Text Only Site + Non-Flash Version + Contact Glenn Table of Tan(a) http://www.grc.nasa.gov/WWW/K-12/airplane/tabltan.html 1 of 2 3/16/2010 10:10 PM...
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Final W2010 - (t- ) 1/s unit step u(t) 0 t < a 1...

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