6: Systems of ODEs — Read — Invisible Network

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6.1: Introduction to Systems of ODEs
Often we do not have just one dependent variable and just one differential equation, we may end up with systems of several equations and several dependent variables even if we start with a single equation.
- 6.1E: Exercises for Section 6.1
6.2: Linear Systems of ODEs
This page summarizes concepts related to homogeneous and nonhomogeneous systems of ordinary differential equations (ODEs). It explains differentiation rules for matrix and vector-valued functions, solving first-order linear systems, superposition principles, and linear independence.
- 6.2E: Exercises for Section 6.2
6.3: Eigenvalue Method
In this section we will learn how to solve linear homogeneous constant coefficient systems of ODEs by the eigenvalue method.
- 6.3E: Exercises for Section 6.3

Contributors and Attributions

Jiří Lebl (Oklahoma State University).These pages were supported by NSF grants DMS-0900885 and DMS-1362337.

This page titled 6: Systems of ODEs was last modified on Wed, 30 Oct 2024 07:09:45 GMT and is shared under a CC BY-NC-SA 3.0 license and was authored, remixed, and/or curated by Fatemeh Yarahmadi.

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Contributors and Attributions