Khan Academy: Differential Equations: Laplace Transform of Unit Step Function

Video first defines and shows a visualization of the unit step function and explains where it is useful in the real world. Shows how linear combinations of the unit step function can be used to created functions that model other situations. Also shows how functions can be shifted by multiplying them by the unit step function. Then shows finding the Laplace transform of the unit step function times another function is just a scaling factor times the Laplace transform of the function being mutliplied by the unit step function. [24:15]