# Differential Equations Samvedna Publication book pdf DOWNLOAD Free 2022

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## Download Differential Equations Samvedna Publication book pdf Free

In Mathematics, a differential equation is an equation that contains one or more functions with its derivatives. The derivatives of the function define the rate of change of a function at a point. It is mainly used in fields such as physics, engineering, biology and so on. The primary purpose of the D. E. is the study of solutions that satisfy the equations and the properties of the solutions. Learn how to solve D. E. here.

One of the easiest ways to solve the D. E. is by using explicit formulas. In this article, let us discuss the definition, types, methods to solve the differential equation, order and degree of the D. E., ordinary D. E. with real-word example and a solved problem.

## Samvedna Publication Book PDF Download – IIT JAM Mathematics Book Free 2022

Samvedna Publication , Vector Calculus, Linear Algebra and Real Analysis …

Definition

A D. E. is an equation which contains one or more terms and the derivatives of one variable (i.e., dependent variable) with respect to the other variable (i.e., independent variable)

dy/dx = f(x)

Here “x” is an independent variable and “y” is a dependent variable
For example, dy/dx = 5x

A D. E. contains derivatives which are either partial derivatives or ordinary derivatives. The derivative represents a rate of change, and the D. E. describes a relationship between the quantity that is continuously varying with respect to the change in another quantity. There are a lot of D. E. formulas to find the solution of the derivatives.

### Types of Differential Equations

##### It can be divided into several types namely
• Ordinary D. E.
• Partial D. E.
• Linear D. E.
• Non-linear D. E.
• Homogeneous D. E.
• Non-homogenous D. E.

## Applications

Let us see some D. E. applications in real-time.

• D. E. describe various exponential growths and decays.
• They are also used to describe the change in return on investment over time.
• They are used in the field of medical science for modelling cancer growth or the spread of disease in the body.
• Movement of electricity can also be described with the help of it.
• They help economists in finding optimum investment strategies.
• The motion of waves or a pendulum can also be described using these equations.
• The various other applications in engineering are: ­ heat conduction analysis, in physics it can be used to understand the motion of waves. The ordinary differential equation can be utilized as an application in the engineering field for finding the relationship between various parts of the bridge.

### ABOUT  ” Samvedna Publication “

Samvedana  Publication  is  a  pioneer  in  publishing  the  books  for  competitive  examinations which are conducted  at  undergraduate  and  postgraduate levels. It  was  established  by  two  IITians  (Vishal Deorashi and Vikas Deorashi)  who  are  themselves  accomplished  authors . They  have   written  so  many  books  for  JEST , IIT – JAM , CSIR NET , TIFR and many more M.Sc Entrance examinations of  Mathematics , Physics  & Chemistry . They  provide  a  Crystal  clear  deep  concept  of  each topic  and  also  their  content  quality  of  each  subject  is  very  high .

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