Verify a Fundamental Set of Solutions for a Linear Second Order Homogeneous DE

This video provides an example on how to verify two functions form a fundamental set of solutions. The general solution is also found.

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.

Solve a System of Linear Equations Using LU Decomposition

This video explains how to use LU Decomposition to solve a system of linear equations.

LU Decomposition – Shortcut Method

This video explains how to find the LU Decomposition of a square matrix using a shortcut involving the opposite of multipliers used when performing row operations.