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 ...

Topics include methods of solutions for linear and non-linear first order differential equations, linear second order differential equations, higher order linear differential equations, systems of ...

Techniques for studying ordinary differential equations (ODEs) have become part of the required toolkit for students in the applied sciences. This book presents a modern treatment of the material ...

The degree of a partial differential equation is the degree of the highest order partial derivative occurring in the equation. Thus, equation (1) is of first order, and equations (2) and (3) are of ...

Proceedings of the Edinburgh Mathematical Society 'This is a well-written, challenging introductory text that addresses the essential issues in the development of effective numerical schemes for the ...