Primer on Solving Ordinary Differential Equations (CHAPTER 08.01)
Exact Solution of first-Order Ordinary Differential Equation with Fixed Constants: Another Example
Summary
Learn how you can find the exact solution of a first-order ordinary differential equation with fixed constants by using the classical solution technique by finding the homogeneous and particular parts. In this case, the form of the forcing functions and their derivatives matches the homogeneous solution.
Learning Objective
After watching this video, you will refresh your pre-requisite knowledge of how to solve a first-order ordinary differential equation with fixed constants by using classical solution techniques. In this case, the forcing function and/or its derivatives match the homogeneous part of the solution. This is required to find the true error in the numerical solution of ordinary differential equations.
Transcript
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Annotated Slides
All Videos for this Topic
Exact Solution of 1st order ODE [YOUTUBE6:48]
Exact Solution of 1st order ODE: Another Example [YOUTUBE7:37]
Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation [YOUTUBE 8:50]
Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation [YOUTUBE 8:41]
Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation [YOUTUBE 9:34]
Complete Resources
Get in one place the following: Primer on ODE