The order of a differential equation is the order of the highest ordered derivative occurring in the differential equation. Thus equations (1), (3) and (4) are of the first order ; equations (2) and ...

Thus, equation (1) is of first order, and equations (2 ... then the order of the partial differential equation is, in general, equal to the number of arbitrary functions eliminated. The following ...

First-order systems are those which can be described by first-order differential equations. A common example is the RC circuit. You will need Adobe Acrobat Reader to ...

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 ...

The aim of the course is the study of partial differential equations. The focus will be on first order quasilinear equations ... Elementary distributional calculus and the notion of weak solutions ...

Many examples ... of ordinary differential equations: the basic definitions and properties 4. How to find the Lie point symmetries of an ordinary differential equation 5. How to use Lie point ...