Differential Equations

An equation is called a differential equation, if it involves variables as well as derivatives of dependent variable with respect to independent variable.

For example:

 is a differential equation.

Sometimes, we may write  etc. as etc. respectively. Also, note that we cannot say that is a differential equation.

Order of a differential equation is defined as the order of the highest order derivative of dependent variable with respect to independent variable involved in the given differential equation.

For example: The highest order derivative present in the differential equation. Therefore, the order of this differential equation is …