Khan Academy
Khan Academy: Differential Equations: More Laplace Transform Tools
Video shows how to extend the derivative property of the Laplace transform to write the Laplace transform of higher order derivatives in terms of their original function. Shows an alternate notation of the Laplace transform and an...
Khan Academy
Khan Academy: Differential Equations: Inverse Laplace Examples
Video first reviews properties of the Laplace transform that were shown in previous videos as well as Laplace transform table values that have been shown in previous videos. Then uses the properties and inverse Laplace transforms to find...
Khan Academy
Khan Academy: Differential Equations: Laplace Transform 5
Video proves properties of the Laplace transform including showing it is a linear operator and showing the Laplace tranform of the derivative of a function. [11:36]
Khan Academy
Khan Academy: Differential Equations: Laplace Transform to Solve an Equation 2
Video continues from the previous video to show how to use the Laplace transform to solve a differential equation. [10:46]
Khan Academy
Khan Academy: Differential Equations: Laplace Transform 6
Video uses the properties of the Laplace transform shown in the previous video and extends them to show how they can be used to simplify problems and help find values for the Laplace transform table more quickly. Examples include trig...
Khan Academy
Khan Academy: Properties of the Laplace Transform: Inverse Laplace Examples
This video uses the properties and inverse Laplace transforms to find the Laplace transform of more difficult functions.
Khan Academy
Khan Academy: Laplace as Linear Operator and Laplace of Derivatives
Video proves properties of the Laplace transform including showing it is a linear operator and showing the Laplace tranform of the derivative of a function.