1. 82 – Engineering Mathematics
Class Notes 13: Laplace Transform (2/3) Time and Frequency Shifts – Step Function
82 – Engineering Mathematics

2. Laplace Transform – Topics

3. Laplace Transform – Solving Linear ODFs

4. Laplace Transform – Example First Order Linear ODFs

5. Laplace Transform – Example First Order Linear ODFs

6. Laplace Transform – Example Second Order Linear ODFs

7. Laplace Transform – Example Second Order Linear ODFs

8. Operation Properties – Translation on the S-Axis (Freq
Operation Properties – Translation on the S-Axis (Freq.) First Translation Theorem

9. Operation Properties – Translation on the t-Axis (Time) Unite Step Function – Definition

10. Single Piecewise Functions Function Multiplied by Unite Step Function

11. Multiply Piecewise Functions - Example

12. Multiply Piecewise Functions - Example

13. Multiply Piecewise Functions - Functions Multiplied by Unite Step Functions

14. Operation Properties – Translation on the t-Axis (Freq
Operation Properties – Translation on the t-Axis (Freq.) Second Translation Theorem

15. Diff Eq. with Discontinuous Force Function

16. Diff Eq. with Discontinuous Force Function

17. Diff Eq. with Discontinuous Force Function

18. Diff Eq. with Discontinuous Force Function

19. Diff Eq. with Discontinuous Force Function

20. Boundary Value Problem – Example