Higher-Order Linear Equations
Reference: Logan, A First Course in Differential Equations, 3rd ed., §2.5 "Higher-Order Linear Equations", pp. 127-129
Textbook Reference
| Primary source | Logan, A First Course in Differential Equations, 3rd ed., §2.5 “Higher-Order Linear Equations”, pp. 127-129 |
| Read this week | Week 6 of the quarter: pages 127 to 129 |
Bring your copy of Logan to this topic. The section and pages above are the exact reading for this skill.
Objectives
By the end of this section you should be able to:
- Form the characteristic polynomial for an nth-order constant-coefficient equation
- Classify roots by their multiplicity and build the matching basic solutions
- Combine the basic solutions into the general solution
- Apply the n initial conditions to determine the constants
Prerequisite Check
Before this section, make sure you are comfortable with:
- The second-order characteristic equation
- Factoring a polynomial and reading root multiplicity
Status
A guided stub for now. You get the exact Logan reading with page numbers, the week this section falls in the quarter, the learning targets, and what to review first. The full worked examples and the leveled practice set for this section are being written and will appear here.