Khan Academy: Properties of the Laplace Transform: Inverse Laplace Examples

In this overview video of direct and inverse variation, Sal shows the general form of each equation and its differences. The listener gains an intuitive understanding of the differences by highlighting how the x and y values vary with...

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...

Video first reviews the Laplace transform of L{1} then uses it to help determine the Laplace transform of L{t}.

Video first reviews what a function is. Explains what the identity function is and uses it to define what makes a function invertible. Shows that the inverse will be unique. This video also appears in the strand Algebra: Functions. [18:53]

An instructional video explaining the concept of function inverses. A linear function is given and a diagram is drawn to show the mapping of some elements of the domain to the corresponding elements in the range. The inverse of the...

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...

Video continuing the example from the previous video where a transformation matrix with respect to an alternate basis was found given a transformation matrix with respect to the standard basis, an alternate basis and a change of basis...

Video reviewing the relationship between transformation matrices with respect to different bases. Addresses manipulating the equation to write it in terms of the transformation matrix with respect to the standard basis. The relationship...

A video lesson that goes through four example problems dealing with conic sections. Topics covered include: finding the vertex of a parabola from its equation; finding the asymptotes of a hyperbola and then sketching its graph;...

Video giving example of a Bernoulli distribution and showing how to calculate its mean, variance, and standard deviation leading up to deriving the formulas for mean, variance and standard deviation of a Bernoulli distribution which will...