Week 9

Differentiating a bit: Linear and constant-coefficient differential equations

9.1: Linear differential equations and the Wronskian

Linear differential equations and the Wronskian are fundamental concepts in the study of differential equations.

In these notes, you’ll explore basic linear differential equations and their properties, the Wronskian, a special determinant, and how to use both to solve more complex systems of linear differential equations.

Linear differential equations with constant coefficients are a specific type of differential equation with no explicit dependence on time.

In these notes, you’ll learn techniques for solving these equations by finding characteristic equations, and how to do so for homogeneous and non-homogeneous differential equations.

9.2: Linear differential equations with constant coefficients

Recitation Slides

Attend recitation! But in case you were staying up late the night before or you’re looking to last-minute study cram, here are Week 9 recitation slides and solutions!

Find out what was discussed last week or jump ahead to next week

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