Laplace - * t 2 19. u ( t-3) * e-2 t 20. te-3 t cos t 21. f...

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MAT 2384-Practice Problems on Laplace Transforms- Find the Laplace transform of each of the following functions. 1. e 2 - 3 t 2. cos 2 (2 t ) 3. e t cosh(2 t ) 4. sin(3 t ) cos(3 t ) 5. t 2 e - 2 t 6. e - 2 t cos(3 t ) 7. e - t cos 2 ( 1 2 t ) 8. sinh t cos t 9. ( t + 1) 2 e - 3 t 10. ( t - 1) 2 u ( t - 1) 11. u ( t - 1)( t 2 - 5 t + 1) 12. t 2 e - 3 t sin 4 t 13. te - 2 t u ( t - 3) 14. e - 2 t u ( t - 3) 15. e t * e - t sin 4 t 16. sin wt * cos( wt ) 17. t * e - 3 t 18. u ( t - 1)
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Unformatted text preview: * t 2 19. u ( t-3) * e-2 t 20. te-3 t cos t 21. f ( t ) = t > 2 t 2 < t < 2 22. f ( t ) = t > 2 e t < t < 2 23. f ( t ) = < t < 2 sin 2 t t > 2 24. f ( t ) = 1-e-t t > 2 < t < 2 1...
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