Characteristic equation with real distinct roots

Intros
Lessons
  1. Using the Characteristic Equation with Real Distinct Roots
Examples
Lessons
  1. Using the Characteristic Equation with Real Distinct Roots
    Find the particular solution to the following differential equation:

    y9y=0y''-9y=0

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

    6y+8y8y=06y''+8y'-8y=0

    With initial values y(2)=1,y(2)=4y(2)=1, y' (2)=4
  3. Find the particular solution to the following differential equation:

    y5y+3y=0y''-5y'+3y=0

    With initial values y(0)=0,y(0)=1y(0)=0, y' (0)=1