Abstract

We offer strategies for solving linear systems of nonhomogeneous differential equations using a conjectured solution strategy for a system of constant coefficient, linear, n

Citation

Researchers should cite this work as follows:

• Winkel, B. (2022). 5-030-LinNonHomoSystemSol-TechniqueNarrative. SIMIODE, QUBES Educational Resources. doi:10.25334/SXN2-EX75

  BibTex | EndNote

Article Context

Resource Type

• Technique Narrative

Differential Equation Type

• ODE
• Linear
• System
• Nonhomogeneous

Technique

• Eigen Methods
• Linear Algebra
• Matrices
• Variation of Parameters

Qualitative Analysis

• Eigenvalue analysis

Application Area

• Mathematics

Course

• Calculus 2
• Differential Equations
• Modeling

Course Level

• Introductory
• High School

Lesson Length

• One class period

Technology

• Mathematica

Approach

• Guided

Skills

• Other

Key Scientific Process Skills

• Asking a question
• Formulating hypotheses

Assessment Type

• Homework

Principles of How People Learn

• Motivates student to learn material
• Focuses student on the material to be learned

Bloom's Cognitive Level

• Foundational: factual knowledge & comprehension

Description

We summarize the time-honored successful strategy of generating solutions for mnon-homogeneous system of differential equations using several approaches.

Article Files

• 5-030-S-LinNonHomoSystemSol-StudentVersion.pdf(PDF | 512 KB)
• 5-030-S-LinNonHomoSystemSol-StudentVersion.tex(TEX | 21 KB)
• 5-030-T-LinNonHomoSystemSol-TeacherVersion.pdf (Instructors only)(PDF | 513 KB)
• 5-030-T-LinNonHomoSystemSol-TeacherVersion.tex (Instructors only)(TEX | 21 KB)
• 5-030-T-Mma-LinNonHomoSystemSol-TeacherVersion.nb (Instructors only)(NB | 677 KB)
• 5-030-T-Mma-LinNonHomoSystemSol-TeacherVersion.pdf (Instructors only)(PDF | 275 KB)
• NonHomPic.jpg(JPG | 22 KB)
• SIMIODE.cls(CLS | 7 KB)
• SimiodeLogo.jpg(JPG | 271 KB)
• License terms

Authors

Author(s): Brian Winkel

SIMIODE - Systemic Initiative for Modeling Investigations and Opportunities with Differential Equations

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