1. THE LAPLACE TRANSFORMS
PART 1

2. 6.2. Defination of Laplace Transform

3. 6.2. Defination of Laplace Transform

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. Frequency Shift

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. Initial and Final Values
For initial values;
For an example;
Then;

21. For Final Value;
For Example;

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