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 !!!!