Differential Equations with YouTube Examples
Publisher: Bookboon.com
Published: 2013
ISBN-13: 9788740306569
Table of contents: title: Content; title: 1. First-order differential equations; title: 1.1. Separable equations; title: 1.2. Linear equations; title: 1.3. Exact equations; title: 1.4. Bernoulli equations; title: 1.5. First-order homogeneous equations; title: 1.6. Riccati equations; title: 2. Second-order differential equations with constant coefficients; title: 2.1. Homogeneous equations; title: 2.2. Inhomogeneous equations; title: 3. The Laplace transform; title: 4. Power series solutions; title: 5. Cauchy-Euler equations; title: 6. Systems of linear equations; title: 7. Nonlinear differential equations; title: 7.1. Fixed points and linear stability analysis; title: 7.2. Bifurcation theory; title: 8. Fourier series; title: 9. Appendix A: Table of Laplace transforms; title: 10. Appendix B: Answers to Additional Practice