Introduction to Free Undamped Motion (Spring System)

This video explains free undamped motion and interprets and solves a free undamped motion initial value problem.

Ex 1: Free Undamped Motion IVP Problem (Spring System)

This video solves a free undamped motion problem.

Ex 2: Free Undamped Motion IVP Problem (Spring System)

This video solves a free undamped motion problem.

Ex 3: Free Undamped Motion IVP Problem (Spring System)

This video solves a free undamped motion problem.

Hooke’s Law – Direction Variation Application

This video provides an example of Hooke’s Law, which is an application of direction variation.

Ex: Integration by Parts Involving a Trig and Linear Function (x*cos(4x))

This video provides an example of integration by parts. The integrand is a product of a linear function and a trigonometric function.

Ex: Perimeter Application – Linear Feet of Baseboard Needed for a Room

This video provides an example of how to determine the number of linear baseboard needed for a room by finding the perimeter.

Ex: Definite Integral Involving a Basic Linear Function

This video provides an example of how to evaluate a definite integral involving a linear function. We find the area under the function on the closed interval.

Derive the Variation of Parameters Formula to Solve Linear Second Order Nonhomogeneous DEs

This video derives or proves the variation of parameters formula used to find a particular solution and solve linear second order nonhomogeneous differential equations.

Ex 1: General Solution to a Second Order DE Using Variation of Parameters

This video provides an example of how to determine the general solution to a linear second order nonhomogeneous differential equation.