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 ...

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 ...

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 ...

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 ...

Many examples are ... of an ordinary differential equation 5. How to use Lie point symmetries: differential equations with one symmetry 6. Some basic properties of Lie algebras 7. How to use Lie point ...