Lecture20 21

Lecture 20 - 21 #

  1. Spring-mass system and derivation of equation of motion
  2. Eigenvalues and Eigenvectors to solve the spring-mass system of linear equations governed by second-order ordinary differential equations
  3. Concept of incomplete/characteristic solution and complete solution

Links #

  1. Lecture notes

Detailed notes on Eigenvalue and Eigenvectors #

  1. Definition of the Eigenvalue problem
  2. Intuition
  3. Utility of Eigenvalue and Eigenvector
  4. How to solve Eigenvalue-Eigenvector problem
  5. Application of Eigenvalue problem - System of 1st order ODEs
  6. Application of Eigenvalue problem - System of 2nd order ODEs

Links #

  1. Detailed notes on Eigenvalue problem