Week 12
Jordan Canonical Form x Diff Eq Collab: More complicated systems of differential equations
12.1: Non-diagonalizable coefficient matrices
Non-diagonalizable coefficient matrices arise in systems of differential equations where the matrix cannot be fully diagonalized, just like with systems of linear equations.
In these notes, you’ll learn how to handle using JCF to solve non-diagonalizable constant coefficient systems of differential equations.
Not only can a constant coefficient system of differential equations not be diagonalizable, it can also not be homogeneous.
In these notes, you’ll explore two methods for solving non-homogeneous differential equation systems, using the Method of Undetermined Coefficients or Variation of Parameters.
12.2: Non-homogeneous systems
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 12 recitation slides and solutions!
Ryann Joseph 