In the applications of ordinary linear differential equations, we first find the general solution and then determine the arbitrary constants from the initial values. But the same method is not ...

In this chapter, we will discuss such geometrical and physical problems which lead to the differential equations of the first order and first degree. A summary of the fundamental principles required ...

Under the hood, mathematical problems called partial differential equations (PDEs ... Among other applications, the framework ...

Introduction to differential equations with an emphasis on engineering applications. Topics include first-order equations, higher-order linear equations with constant coefficients, and systems of ...

linear second order differential equations, higher order linear differential equations, systems of first-order differential equations. Laplace transforms. Numerical methods. Applications to physical ...

Advanced techniques for initial value problems, differential algebraic systems, bifurcations, chaos, and partial differential equations. Applications drawn from different physical areas.

The area of nonlinear dispersive partial differential equations (PDEs) is a fast developing field ... Copious exercises are included, and applications of the theory are also presented to connect ...

Introductory course on using a range of finite-difference methods to solve initial-value and initial-boundary-value problems involving partial differential equations. The course covers theoretical ...