ix
- with Constant Coefficients 6 Applications of Linear Differential Equations
- 6.1 Second-Order Differential Equations
- 6.1.l Free Motion
- 6.1.l.1 Free Undamped Motion
- 6.1.l.2 Free Damped Motion
- 6.1.2 Forced Motion
- 6.1.2.l Undamped Forced Motion
- 6.1.2.2 Damped Forced Motion
- 6.2 Higher Order Differential Equations
- 7 Systems of First-Order Differential Equations
- 8 Linear Systems of First-Order Differential Equations
- 8.1 Matrices and Vectors
- 8.2 Eigenvalues and Eigenvectors
- 8.3 Linear Systems with Constant Coefficients
- 9 Applications of Linear Systems with Constant Coefficients
- 9.1 Coupled Spring-Mass Systems
- 9.2 Pendulum Systems
- 9.3 The Path of an Electron
- 9.4 Mixture Problems
- 10 Applications of Systems of Equations
- 10 .l Richardson's Arms Race Model
- 10.2 Phase-Plane Portraits
- 10.3 Modified Richardson's Arms Race Models
- 10 .4 Lanchester's Combat Models
- 10.5 Models for Interacting Species
- 10 .6 Epidemics
