Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Part I First order differential equations
- 1 Radioactive decay and carbon dating
- 2 Integration variables
- 3 Classification of differential equations
- 4 *Graphical representation of solutions using MATLAB
- 5 ‘Trivial’ differential equations
- 6 Existence and uniqueness of solutions
- 7 Scalar autonomous ODEs
- 8 Separable equations
- 9 First order linear equations and the integrating factor
- 10 Two ‘tricks’ for nonlinear equations
- Part II Second order linear equations with constant coefficients
- Part III Linear second order equations with variable coefficients
- Part IV Numerical methods and difference equations
- Part V Coupled linear equations
- Part VI Coupled nonlinear equations
- Appendix A Real and complex numbers
- Appendix B Matrices, eigenvalues, and eigenvectors
- Appendix C Derivatives and partial derivatives
- Index
1 - Radioactive decay and carbon dating
Published online by Cambridge University Press: 05 September 2012
- Frontmatter
- Contents
- Preface
- Introduction
- Part I First order differential equations
- 1 Radioactive decay and carbon dating
- 2 Integration variables
- 3 Classification of differential equations
- 4 *Graphical representation of solutions using MATLAB
- 5 ‘Trivial’ differential equations
- 6 Existence and uniqueness of solutions
- 7 Scalar autonomous ODEs
- 8 Separable equations
- 9 First order linear equations and the integrating factor
- 10 Two ‘tricks’ for nonlinear equations
- Part II Second order linear equations with constant coefficients
- Part III Linear second order equations with variable coefficients
- Part IV Numerical methods and difference equations
- Part V Coupled linear equations
- Part VI Coupled nonlinear equations
- Appendix A Real and complex numbers
- Appendix B Matrices, eigenvalues, and eigenvectors
- Appendix C Derivatives and partial derivatives
- Index
Summary
- Type
- Chapter
- Information
- Publisher: Cambridge University PressPrint publication year: 2004