Characteristic equation with repeated roots

Get the most by viewing this topic in your current grade. Pick your course now.

?
Intros
Lessons
  1. What is the solution to the Characteristic Equation with Repeated Roots?
?
Examples
Lessons
  1. Determining the Characteristic Equation with Repeated Roots
    Find the particular solution to the following differential equation:

    y6y+9y=0y''-6y'+9y=0

    With initial values y(0)=3,y(0)=2y(0)=3, y'(0)=2
    1. Find the particular solution to the following differential equation:

      4y12y+9y=04y''-12y'+9y=0

      With initial values y(2)=e3,y(2)=12e3y(2)=e^3, y'(2)=\frac{1}{2}e^3