Mathematics 212
Differential Equations
Chapter 6: Second-Order Linear Equations II
Class Notes
6.1 Homogeneous Equations with Constant Coefficients (
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6.2 Exponential Shift (
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6.3 Complex Roots (
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6.4 Real Solutions from Complex Solutions (
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6.5 Unforced Vibrations (
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6.6 Periodic Force and Response (
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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)
cparrish@sewanee.edu