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

Laplace Transform – Topics

Laplace Transform – Solving Linear ODFs

Laplace Transform – Example First Order Linear ODFs

Laplace Transform – Example First Order Linear ODFs

Laplace Transform – Example Second Order Linear ODFs

Laplace Transform – Example Second Order Linear ODFs

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

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

Single Piecewise Functions Function Multiplied by Unite Step Function

Multiply Piecewise Functions - Example

Multiply Piecewise Functions - Example

Multiply Piecewise Functions - Functions Multiplied by Unite Step Functions

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

Diff Eq. with Discontinuous Force Function

Diff Eq. with Discontinuous Force Function

Diff Eq. with Discontinuous Force Function

Diff Eq. with Discontinuous Force Function

Diff Eq. with Discontinuous Force Function

Boundary Value Problem – Example