Chapter 8: Linear Differential Equations of Order n.
Chapter 8: Linear Differential Equations of Order n.
8.2 Constant Coefficient Homogeneous Linear Differential Equations.
0:00 Differential Equations and Linear Algebra.
16:16 Examples • Examples start at about 16 minutes into the video, if you want to skip the introduction.
• Auxiliary Polynomial and Auxiliary Equation.
• Real Roots of the Auxiliary Equation. • Complex Roots of the Auxiliary Equation.
• Euler’s Formula.
• Writing real solutions when you get complex roots, by applying the Euler’s Formula and a Linear Combination.