This book highlights an unprecedented number of real-life applications of differential
equations together with the underlying theory and techniques. The problems and examples
presented here touch on key topics in the discipline including first order (linear and
nonlinear) differential equations second (and higher) order differential equations first
order differential systems the Runge-Kutta method and nonlinear boundary value problems.
Applications include growth of bacterial colonies commodity prices suspension bridges
spreading rumors modeling the shape of a tsunami planetary motion quantum mechanics
circulation of blood in blood vessels price-demand-supply relations predator-prey relations
and many more.Upper undergraduate and graduate students in Mathematics Physics and Engineering
will find this volume particularly useful both for independent study and as supplementary
reading. While many problems can be solved at the undergraduate level a number of challenging
real-life applications have also been included as a way to motivate further research in this
vast and fascinating field.
