CH2.5_ODEs - 3 sin 3 1 1 t e X t x t − − = = s L Need practice!

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ZG2004 1 2.5 Solve ODE by Laplace Transform Example 1 ) 0 ( 0 ) 0 ( 0 10 2 = = = + + x x x x x solution [ ] [ ] 0 10 2 L L = + + x x x Laplace: [ ] 0 10 ) 0 ( 2 ) 0 ( ) 0 ( 2 = + + s s s X x sX x sx X s 10 2 1 2 + + = s s X s PFE: 2 2 2 2 3 ) 1 ( 3 3 1 3 ) 1 ( 1 + + = + + = s s X s Inverse Lapalce:
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Unformatted text preview: [ ] ) 3 sin( 3 1 ) ( 1 t e X t x t − − = = s L Need practice!...
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This note was uploaded on 12/08/2008 for the course ME 3504 taught by Professor Tschang during the Fall '08 term at Virginia Tech.

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