PRIMER ON SOLVING ORDINARY DIFFERENTIAL EQUATIONS (CHAPTER 08.01)

Exact Solution

2nd Order Ordinary Differential Equations with Fixed Constants

Repeated Roots of Characteristic Equation

By Autar Kaw

Learn how you can find the exact solution of a 2nd order differential equation (with fixed constants) by using the classical solution technique (homogeneous and particular parts).

This video gives you an example of finding the exact solution of a second order differential equation with fixed constants by using the classical solution technique.  The roots of the characteristic equation are repeated.

Exact Solution of 1st order ODE [YOUTUBE 6:48] [TRANSCRIPT]

Exact Solution of 1st order ODE: Another Example [YOUTUBE 7:37] [TRANSCRIPT]

Exact Solution of 2nd order ODE: Distinct Roots of Characteristic Equation [YOUTUBE  8:50] [TRANSCRIPT] 

Exact Solution of 2nd order ODE: Repeated Roots of Characteristic Equation [YOUTUBE  8:41] [TRANSCRIPT]

Exact Solution of 2nd order ODE: Complex Roots of Characteristic Equation [YOUTUBE  9:34] [TRANSCRIPT]