THE LAPLACE TRANSFORMS PART 1

6.2. Defination of Laplace Transform

6.2. Defination of Laplace Transform

b) c)

Example 6.2. Solution:

6.3. Properties of Laplace Transform 1. Linearity Hence;

6.3. Properties of Laplace Transform 2. Scalling

3. Time Shift

6.3. Properties of Laplace Transform

6.3. Properties of Laplace Transform ?

6.3. Properties of Laplace Transform 4. Frequency Shift

6.3. Properties of Laplace Transform 5. Time Differantiation

6.3. Proporties of Laplace Transform

6.3. Properties of Laplace Transform

6.3. Properties of Laplace Transform 6. Time Integration

6.3. Properties of Laplace Transform

6.3. Properties of Laplace Transform 6. Frequency Differantiation

7. Time Periodicity

Taking Laplace transform of each term;

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

For Final Value; For Example;

As another example; This is incorrect !!!!