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Differential Equations

This course focuses on linear ordinary differential equations (or ODEs) and will introduce several other subclasses and their respective properties. Despite centuries of study, numerical approximation is the only practical approach that has emerged to the solution of complicated ODEs ; this course will introduce you to the fundamentals behind numerical solutions. This free course may be completed online at any time. See course site for detailed overview and learning outcomes. (Mathematics 221; Mechanical Engineering 003; Computer Science)

Keywords:: Picard, Non-homogeneous, Power Series Solutions, Nth-order, Homogeneous, First Order, Ordinary Differential Equation, Trajectories, Numerical Methods, Integral Transforms, Nonlinear ODEs

Disciplines:

Mathematics and Statistics / Mathematics / Differential Equations

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Material Type:: Online Course
Date Added to MERLOT:: January 27, 2012
Date Modified in MERLOT:: August 18, 2021
Author:: Sean Connor, The Saylor Foundation
Submitter:: Sean Connor
Primary Audience:: College Lower Division
Technical Format:: Website

Mobile Compatibility:: Not specified at this time
Language:: English
Cost Involved:: No
Source Code Available:: No
Accessibility Information Available:: Unknown
Creative Commons:: This work is licensed under a Attribution 3.0 United States