Chapter 6: Second-Order Linear Equations II

Class Notes

• 6.1 Homogeneous Equations with Constant Coefficients (pdf)
• 6.2 Exponential Shift (pdf)
• 6.3 Complex Roots (pdf)
• 6.4 Real Solutions from Complex Solutions (pdf)
• 6.5 Unforced Vibrations (pdf)
• 6.6 Periodic Force and Response (pdf)

Homework Exercises from DE

• 6.1 -- 5, 9, 15, 17, 21
• 6.2 -- 3, 5, 9, 11, 13
• 6.3 -- 3, 5, 9, 13, 15, 21, 25
• 6.4 -- 3, 9, 13, 19, 21
• 6.5 -- 1, 3, 4, 7, 9, 12, 13
• 6.6 -- 3, 5, 9, 11, 12, 13

Homework Exercises from AMC for DE

• 7.2 -- 1, 2, 3, 4, 5 (Linear Differential Systems)
• 7.3 -- 1, 3, 5, 7 (Matrix Eigenvalues and Eigenvectors)
• 7.4 -- 1, 3, 5, 7, 8, 9 (Autonomous Systems)
• 7.5 -- 1, 2, 3 (Matrix Exponential)
• 7.6 -- 1, 3, 5, 7, 9, 11, 13, 15 (Eigenvalues and Phase Portraits)