The video tutorial explains the process of solving a second order homogeneous differential equation. It begins by introducing the concept and then derives the solutions for Lambda values. The tutorial verifies these solutions and explores the superposition theorem, demonstrating its application in solving the equation. Finally, it derives the generalized equation of motion, providing a comprehensive understanding of the topic.

Describe the process of substituting X = A E to the Lambda 1T + B E to the Lambda 2T into the differential equation.

What does the Superposition theorem state in relation to the solutions of the differential equation?

How can you determine if the solution is unique for the given differential equation?