Chasnov J.R. Introduction to Differential Equations

The Hong Kong University of Science &Technology, 2010. - 126 pages.What follows are my lecture notes for Math 150/151: Introduction to ordinary differential equations/Differential equations and applications, taught at the Hong Kong University of Science and Technology. Math 150, with two lecture hours per week, is primarily for non-mathematics majors and is required by several engineering and science departments; Math 151, with three lecture hours per week, is primarily for mathematics majors and is required for applied
mathematics students.A short mathematical review;
Introduction to ODEs;
First-order ODEs;
Second-order ODEs constant coefficients;
The Laplace transform;
Series solutions;
Systems of equations;
Bifurcation theory;
Partial differential equations.