Week Program, Semester Week 13

\(n\)^th Order Differential Equations and Systems hereof

This week treats linear differential equations with constant coefficients of higher order, in particular of order 2. As we will see, such differential equations can be rewritten to a system of differential equations of order 1. Of that reason our theory for such systems can be used to investigate \(n\)-th order linear differential equations with constant coefficients. For \(n=2\) we will describe how one solves the homogeneous case.

Key Terms

Linear \(n\)-th order differential equations with constant coefficients. Initial conditions. Particular solutions. General solutions for \(n=2\).

Preparation and Syllabus

This week covers Sections 12.3 and 12.4 from [12 - Systems of linear ordinary differential equations of order one with constant coefficients].

Exercises

Exercises for Long Day.

On Short Day, scheduled for Theme Exercise 4, a trial exam will take place. Trial tests for both parts of the exam are found on this link. Do the tests in your own pace - we recommend setting a timer and following the exam format of two times two hours. From 13:00-14:00 the usual lecture will be replaced by an optional Q/A session in the auditorium.