Finding Particular Solutions to Inhomogeneous ODEs: Operator and Solution Formulas Involving Exponentials

Finding Particular Solutions to Inhomogeneous ODEs: Operator and Solution Formulas Involving Exponentials
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Taught by OCW
Arthur Mattuck, 18.03 Differential Equations, Spring 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), http://ocw.mit.edu (Accessed November 26, 2008). License: Creative Commons BY-NC-SA.
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Finding Particular Solutions to Inhomogeneous ODEs: Operator and Solution Formulas Involving Exponentials -- Lecture 13. A spattering of formulas for finding particular solutions to ODEs.
  • What is an inhomogeneous ODE?
  • What is a particular solutions to an ODE?
  • What is the exponential input theorem?
  • What is the exponential shift rule?
  • How do you know if a is a single or a double root?
This is a very important lesson in exponential differential equations and oscillations of springs. Many solution formulas and their proofs are presented in the lesson as well. A bit of a complicated and very theoretical lecture with many formulas represented.
  • Currently 4.0/5 Stars.
Reviewed by MathVids Staff on November 26, 2008.
 
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