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THE LAPLACE TRANSFORMS

THE LAPLACE TRANSFORMS. PART 1. 6.2. Defination of Laplace Transform. 6.2. Defination of Laplace Transform. a). b ). c ). Example 6.2. Solution:. 6.3. Prop e rties of Laplace Transform. 1. Linearity. Hence ;. 6.3. Prop e rties of Laplace Transform. 2. Scalling. 3. Time Shift.

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THE LAPLACE TRANSFORMS

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  1. THE LAPLACE TRANSFORMS PART 1

  2. 6.2. Defination of Laplace Transform

  3. 6.2. Defination of Laplace Transform a)

  4. b) c)

  5. Example 6.2. Solution:

  6. 6.3. Properties of Laplace Transform 1. Linearity Hence;

  7. 6.3. Properties of Laplace Transform 2. Scalling

  8. 3. Time Shift

  9. 6.3. Properties of Laplace Transform

  10. 6.3. Properties of Laplace Transform ?

  11. 6.3. Properties of Laplace Transform 4. FrequencyShift

  12. 6.3. Properties of Laplace Transform 5. Time Differantiation

  13. 6.3. Proporties of Laplace Transform

  14. 6.3. Properties of Laplace Transform

  15. 6.3. Properties of Laplace Transform 6. Time Integration

  16. 6.3. Properties of Laplace Transform

  17. 6.3. Properties of Laplace Transform 6. Frequency Differantiation

  18. 7. Time Periodicity

  19. Taking Laplace transform of each term;

  20. 8. Initialand Final Values For initial values; For an example; Then;

  21. For FinalValue; ForExample;

  22. As another example; This is incorrect !!!!

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