Differential Equations with YouTube Examples
by Jeffrey R. Chasnov
Publisher: BookBoon 2014
Number of pages: 57
This book, together with the linked YouTube videos, reviews a first course on differential equations. The main purpose is to help students prepare for their university exams. Theory is summarized, and the solutions of typical exam questions are demonstrated in YouTube videos. Additional practice questions are given and their solutions are presented in the Appendix.
Home page url
Download or read it online for free here:
by Carmen Chicone, Richard Swanson - American Mathematical Society
The proof of the Grobman-Hartman linearization theorem for a flow at a hyperbolic rest point proceeds by establishing the analogous result for hyperbolic fixed points of local diffeomorphisms. We present a proof that avoids the discrete case.
by Robert M. Brooks, Klaus Schmitt - American Mathematical Society
These notes contain various versions of the contraction mapping principle. Several applications to existence theorems in differential and integral equations and variational inequalities are given. Also discussed are Hilbert's projective metric.
by Marcel B. Finan - Arkansas Tech University
Contents: Basic Terminology; Qualitative Analysis: Direction Field of y'=f(t,y); Existence and Uniqueness of Solutions to First Order Linear IVP; Solving First Order Linear Homogeneous DE; Solving First Order Linear Non Homogeneous DE; etc.
by Leif Mejlbro - BookBoon
Some examples of simple differential equations. The book covers separation of variables, linear differential equation of first order, the existence and uniqueness theorem, the Bernoulli differential equation, and the setup of model equations.