Linear Independent Functions – The Wronskian

This video provides a lesson on determining if two functions are linear independent using the Wronskian.

Linear Dependent Functions

This video provides a lesson on dependent function and verifying given functions are linear dependent.

Shortcut Reduction of Order – Linear Second Order Homogeneous Differential Equations Part 2

This video explains how to apply the shortcut formula for the method of reduction of order to solve a linear second order homogeneous differential equations.

Reduction of Order – Linear Second Order Homogeneous Differential Equations Part 2

This video explains how to apply the method of reduction of order to solve a linear second order homogeneous differential equations.

Shortcut Reduction of Order – Linear Second Order Homogeneous Differential Equations Part 1

This video explains how to apply the shortcut formula for the method of reduction of order to solve a linear second order homogeneous differential equations.

Reduction of Order – Linear Second Order Homogeneous Differential Equations Part 1

This video explains how to apply the method of reduction or order to solve a linear second order homogeneous differential equations.

First and Second Derivative of Parametric Equations – Concavity

This video provides an example of how to determine the first and second derivative of a curve given by parametric equations. It also explains how to determine the intervals of t for which the curve is concave up or concave down.

Determine the Points Where the Tangent Lines are Horizontal or Vertical Using Parametric Equations

This video explains how to determine the points on a parametric curve where the tangent lines are horizontal or vertical.

Determine the First and Second Derivative Given Parametric Equations

This video provides an example of how to determine the first derivative and second derivative at a given value of t. Then determine the slope of the tangent line and the concavity.

Ex 3: Equation of a Tangent Line to a Curve Given by Parametric Equations

This video provides an example of how to determine the equation of a tangent line when the curve is given by parametric equations.