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Appendix B Hints and Answers to Selected Exercises
1 A First Look at Differential Equations
1.1 Modeling with Differential Equations
1.1.9 Exercises
1.1.9.29.
1.1.9.31.
1.4 Analyzing Equations Numerically
1.4.6 Exercises
1.4.6.8.
1.5 First-Order Linear Equations
1.5.8 Exercises
1.5.8.16.
1.5.8.17.
1.5.8.19.
1.5.8.20.
1.5.8.21.
1.5.8.26.
1.6 Existence and Uniqueness of Solutions
1.6.5 Exercises
1.6.5.1.
1.6.5.3.
3 Linear Systems
3.2 Planar Systems
3.2.6 Exercises
3.2.6.10.
4 Second-Order Linear Equations
4.1 Homogeneous Linear Equations
4.1.6 Exercises
4.1.6.32.
4.1.6.33.
4.2 Forcing
4.2.7 Exercises
4.2.7.25.
4.2.7.26.
4.2.7.27.
4.3 Sinusoidal Forcing
4.3.5 Exercises
5 Nonlinear Systems
5.3 More Nonlinear Mechanics
5.3.6 Exercises
5.3.6.17. Lobster Navigation.