Archive for the ‘VIII. Differential Equations’ Category

Ex: Model Free Damped Vibration and Find Displacement Function

This video explains how to determine a linear second order homogeneous differential equation to model free damped motion.  Then the IVP is solved to find the displacement function.

Ex: Determine a Dampening Force For An Overdamped System (Free Damped Vibration)

This video explains how to determine the dampening force with a given velocity to make  system overdamped.

Ex: Determine a Dampening Force For An Critically Damped System (Free Damped Vibration)

This video explains how to determine the dampening force with a given velocity to make  system critically damped.

Ex 1: Write a Step Function Using the Unit Step Function

This video explains how to write an equation of a step function using the unit step function.

Ex 2: Write a Step Function Using the Unit Step Function

This video explains how to write an equation of a step function using the unit step function.

Ex: Write a Ramp Function Using the Unit Step Function

This video explains how to write an equation of a ramp function using the unit step function.

Ex: Find the Laplace Tranform of a f(t) Times a Unit Step Function

This video explains how to determine the Laplace transform of the product of a function of t and a unit step function.