Published on: Tue Feb 01 2011

Differential equations are equations involving derivatives. For example:

y''+xy'+2y = sin x

This is a second order, linear differential equation.

The order is the highest derivative, in the above case, it's 2 because y''.

Linear can be thought of as a 1st degree polynomial.*Differential equations involving more than 1 independent variable are called partial differential equations. This course is mainly concerned with ordinary differential equations.*We learned two methods of solving ODQ's today. The first method was

The second method was not given a clear name, but I think it could be called using an

Finally we learned the

An initial condition is ie y(0)=1, it is used for setting the constant.