Differential Equations

 Definition :-

An equation which involves the derivatives of dependent variables with respect to independent variables is called a differential equation. 

The differential equation is of two types :- 

1. Ordinary Differential Equation 

2. Partial Differential Equation 

Ordinary Differential Equation

An equation which involves ordinary derivatives of dependent variables with respect to one independent variable is called Ordinary Differential Equation.

Partial Differential Equation

An Equation which involves partial derivatives of dependent variable with respect to two or more independent variables is called a partial Differential equation.

Order and Degree 

Order 

The Order of differential equation is the order of highest order derivative involves in it.

Degree

Degree is the integral power of highest order derivative in equation when equation is made free from negative and fractional powers.

Q. How to find order and degree of ordinary differential equation ?

Ans: Its the order of highest order derivative. 

Lets walk through some problems  to uderstand it better about how to find order and degree

Problem 1 : 

\((\frac{dy}{dx})^{3} +y = 2x \)