When solving a fixed-constant linear ordinary differential equation where the characteristic equation has repeated roots, why do we get the next independent solution in the form of x^n*e^(m*x)? Show this through an example.
See this pdf file for the answer.
This post is brought to you by
- Holistic Numerical Methods: Numerical Methods for the STEM undergraduate at http://nm.MathForCollege.com,
- the textbook on Numerical Methods with Applications available from the lulu storefront,
- the textbook on Introduction to Programming Concepts Using MATLAB, and
- the Massive Open Online Course (MOOC) available at https://canvas.instructure.com/enroll/KYGTJR