Differential Equations

First Order Constant Coefficient Linear ODE's

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Session Overview

In this session we focus on constant coefficient equations. That is, the equation y’ + ky = f(t), where k is a constant. Since we already know how to solve the general first order linear DE this will be a special case. Studying it will pave the way for studying higher order constant coefficient equations in later sessions.

Session Activities

Read the course notes:

• First Order Constant Coefficient Linear ODE’s: Introduction (PDF)

Watch the lecture video clip:

• Solutions to Constant Coefficient Linear First Order ODE’s

Read the course notes:

• Solution to the Constant Coefficient First Order Equation (PDF)

Watch the lecture video clips:

• Examples of Constant Coefficient Linear First Order ODE’s
• More Examples of Constant Coefficient Equations

Read the course notes:

• Examples of Constant Coefficient First Order Equations (PDF)
• Response to Discontinuous Input (PDF)

Watch the problem solving video:

• First Order Constant Coefficient Linear ODE’s

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