Maharashtra State BoardHSC Arts 12th Board Exam
Advertisement

Basic Concepts of Differential Equation

notes

We are already familiar with the equations of the type: 
`x_2` – 3x + 3 = 0 ... (1) 
sin x + cos x = 0   ... (2) 
x + y = 7               ... (3)
Let us consider the equation:
x`(dy)/(dx)` + y = 0     ... (4)

We see that equations (1), (2) and (3) involve independent and/or dependent variable (variables) only but equation (4) involves variables as well as derivative of the dependent variable y with respect to the independent variable x. Such an equation is called a differential equation.
In general, an equation involving  derivative (derivatives) of the dependent variable with respect to independent variable (variables) is called a differential equation.
A differential equation involving derivatives of the dependent variable with respect to only one independent variable is called an ordinary differential equation, e.g.,differential equation. 

2`(d^2y)/(dx^2) + ((dy)/(dx))^3` = 0  is an ordinary differential equation 
.... (5)

If you would like to contribute notes or other learning material, please submit them using the button below.

Video Tutorials

We have provided more than 1 series of video tutorials for some topics to help you get a better understanding of the topic.

Series 1


Series 2


Shaalaa.com | Differential Equations

Shaalaa.com


Next video


Shaalaa.com


Differential Equations [00:03:47]
S
Advertisement
Share
Notifications

View all notifications
Login
Create free account


      Forgot password?
View in app×