KRISHNA PUBLICATIONS
- Books Name
- Mathmatics Book Based on NCERT
- Publication
- KRISHNA PUBLICATIONS
- Course
- CBSE Class 12
- Subject
- Mathmatics
Chapter 9
Differential Equations
Basic Concepts of Differential Equations and Types of Differential equations
Differential Equations:
A differential equation is any equation which contains derivatives, either ordinary derivatives or partial derivatives.
Example:
Example:
Differential equation into two types:
- Ordinary differential equation
- partial differential equations.
[1] Ordinary differential equation:
An ordinary differential equation is an equation which is defined for one or more functions of one independent variable and its derivatives. It is abbreviated as ODE.
y'=x+1 is an example of ODE.
An ordinary differential equation is a differential equation that does not involve partial derivatives
[2] partial differential equations. :
A partial differential equation (or briefly a PDE) is a mathematical equation that involves two or more independent variables, an unknown function (dependent on those variables), and partial derivatives of the unknown function with respect to the independent variables.
A partial differential equation is a differential equation that involves partial derivatives.
Example:
