# NCERT Class 12 Maths Differential Equations

Read and download NCERT Class 12 Maths Differential Equations chapter in NCERT book for Class 12 Mathematics. You can download latest NCERT eBooks for 2022 chapter wise in PDF format free from Studiestoday.com. This Mathematics textbook for Class 12 is designed by NCERT and is very useful for students. Please also refer to the NCERT solutions for Class 12 Mathematics to understand the answers of the exercise questions given at the end of this chapter

## Differential Equations Class 12 Mathematics NCERT

Class 12 Mathematics students should refer to the following NCERT Book chapter Differential Equations in standard 12. This NCERT Book for Grade 12 Mathematics will be very useful for exams and help you to score good marks

### Differential Equations NCERT Class 12

9.1 Introduction
In Class XI and in Chapter 5 of the present book, we discussed how to differentiate a given function f with respect to an independent variable, i.e., how to find f (x) for a given function f at each x in its domain of definition. Further, in the chapter on Integral Calculus, we discussed how to find a function f whose derivative is the function g, which may also be formulated as follows:

For a given function g, find a function f such that dy/dx = g(x), where y = f (x) . .. (1)

An equation of the form (1) is known as a differential equation. A formal definition will be given later.

These equations arise in a variety of applications, may it be in Physics, Chemistry, Biology, Anthropology, Geology, Economics etc. Hence, an indepth study of differential equations has assumed prime importance in all modern scientific investigations.

In this chapter, we will study some basic concepts related to differential equation, general and particular solutions of a differential equation, formation of differential equations, some methods to solve a first order - first degree differential equation and some applications of differential equations in different areas.

9.2 Basic Concepts
We are already familiar with the equations of the type:

x2 – 3x + 3 = 0                               ... (1)

sin x + cos x = 0                             ... (2)

x + y = 7                                         ... (3)

Please refer to attached file for NCERT Class 12 Maths Differential Equations

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