NCERT Solutions for Class 12 Maths Chapter 9 – Differential Equations

The NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations are available here, along with the best possible explanations for each question in the chapter. You will learn about differential equations’ order and degree, how to solve them, their properties, and much more in this chapter. 

Solving the problems in the various exercises of Differential Equations Class 12 will assist you in developing a firm understanding of the concept of Differential Equations. Hence, Download and go through the Chapter 9 Class 12 Maths Solutions PDF!

Download NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations PDF

The chapter explains the fundamentals of Differential Equations in an easy-to-understand manner, which will help students prepare for their 12th board exam. These Differential equations Class 12 NCERT Solutions are available for you to download for free and use whenever you want.

Access Differential Equations Class 12 Maths Solutions PDF

Class-12-Mathematics-Solutions-Chapter-9 pdf

 

 


The solutions to each question given above will assist you in learning how to actually address the questions

What will you get in NCERT Solutions for Class 12 Maths Chapter 9?

The key concepts covered in NCERT Solutions for Class 12 Chapter 9- Differential Equations include:

9.1

 Introduction

9.2

Basic Concepts

9.2.1

Order of a differential equation

9.2.2

 Degree of a differential equation

9.3

General and Particular Solutions of a Differential Equation

9.4

Formation of a Differential Equation whose General Solution is given

9.4.1

Procedure to form a differential equation that will represent a given family of curves

9.5

Methods of Solving First Order, First Degree Differential Equations

9.5.1

Differential equations with variables separable

9.5.2

Homogeneous differential equations

9.5.3

Linear differential equations

 

Let us now have a look at the NCERT Solutions for Class 12 Maths Chapter 9 exercises-

Exercise 9.1 Solutions

12 Questions

 

Exercise 9.2 Solutions

12 Questions

 

Exercise 9.3 Solutions

12 Questions

 

Exercise 9.4 Solutions

 23 Questions

 

Exercise 9.5 Solutions

17 Questions

 

Exercise 9.6 Solutions

19 Questions

 

 

Miscellaneous Exercise

18 Questions

 

 

 

Let us take a vivid glance at the content of the NCERT Solutions for Class 12 Maths Chapter 9 – Differential Equations for a thorough idea about the chapter-

CBSE Class 12 Maths Chapter 9 – Differential Equations: 9.1

The first section is an introductory section to the chapter relating the instances students learned in the last chapter. Well, this chapter is a separate segment associated with the unit of Calculus which carries around 35 marks. This chapter includes a total of 6 exercises to impart an in-depth notion of the topics.

The first exercise carries 12 questions which include problems on differential equations. Each of the questions listed in this section follows a similar pattern. Therefore you will get rigorous revision sessions which will eventually simplify the sums.

CBSE Class 12 Maths Chapter 9 – Differential Equations: 9.2

This portion of the chapter consists of problem sums that the pupil needs to find the particular solutions of the in-text differential equation. This segment includes around 12 questions in total. Well, this is a tricky section where students need to catch up with the familiar technique calculating all the given sums. 

CBSE Class 12 Maths Chapter 9 – Differential Equations: 9.3

This area will introduce you to several new and different types of questions, based upon differential equations. Questions from 1-10 need students to form a differential equation which will display the given family of curves mentioned in the in-text of the question. Additionally, for calculating the last two questions, you will have to go for the right answers where 4 options are given. 

CBSE Class 12 Maths Chapter 9 – Differential Equations: 9.4

This section of the Differential Equation, the exercise comprises 19 questions. However, students need to look for a different method in order to calculate the sums given. Well, we are with a small highlight concerning what stands in this 9.4 exercise-

Starting 1 – 10 students will have to calculate the general solutions of the differential equation.

From question 11-14, students need to find a specific solution for each of the differential equations that will correspond with mentioned formulas in the textbook.

From question 15-19 students will notice different approaches on different equations listed.

You need to study hard the CBSE Class 12 Maths Chapter 9 – Differential Equations for a confident practice session at the comfort of your home.

NCERT Solutions for Class 12 Maths Chapter 9: 9.5

This portion of Differential Equation incorporates a total of 17 questions which you need to practice frequently. And this section includes sums that concentrate on the homogeneous differential equation. You need to make sure that you invest quality time in practising the chapter. Since the more you practice the better you get with the concept, thus paving an unhindered path for your upcoming Maths boards exam.

NCERT Solutions for Class 12 Maths Chapter 9: 9.6

Well, this part of the chapter comes packed with 16 questions completely based on linear differential equations. Once you go through the part we assure you will get perfect with sums and their techniques. With short cut methods mentioned in the content, you are bound to learn this complicated subject in a smart way which is great.

NCERT Solutions for Class 12 Maths Chapter 9: Miscellaneous

This portion covers all the questions that you learned till the last studied exercise. This helps you with meticulous practice sessions which will definitely act as a booster for your Maths boards syllabus. This is awesome!!

NCERT Solutions for Class 12 Maths Chapter 9: Key highlights of the chapter-

 Well, the chapter covers-

  1. An equation involving derivatives of the dependent variable with respect to the independent variable (variables) is known as a differential equation.
  2. Order of a differential equation is the order of the highest order derivative occurring in the differential equation.
  3. Degree of a differential equation is defined if it is a polynomial equation in its derivatives.
  4. Degree (when defined) of a differential equation is the highest power (positive integer only) of the highest order derivative in it.
  5. A function which satisfies the given differential equation is called its solution. The solution which contains as many arbitrary constants as the order of the differential equation is called a general solution and the solution free from arbitrary constants is called a particular solution.
  6. To form a differential equation from a given function we differentiate the function successively as many times as the number of arbitrary constants in the given function and then eliminate the arbitrary constants.
  7. The variable separable method is used to solve such an equation in which variables can be separated completely i.e. terms containing y should remain with dy and terms containing x should remain with dx.

Studying the chapter in a comprehensive manner is sure to offer a guide to the student to understand-

The solution of differential equations by the method of separation of variables, solutions of homogeneous differential equations of the first order and first degree. Solutions of the linear differential equation of the type:

Also Access:

Benefits of NCERT Solutions for Class 12 Maths -Chapter 9

Well, this chapter is undoubtedly one of the most important sections that your 12th-grade math’s curriculum covers. And here we are with solid reasons for you to opt this study material, let’ check the benefits out-

  1. Assist students with their homework and competitive tests.
  2. Content is well-structured.
  3. Assist students in reinforcing their fundamental understanding of differential equations.
  4. Subject expertise assisted in the preparation of these NCERT Solutions.

This is everything that you need for preparing CBSE NCERT Solutions for Class 12 Maths Chapter 9. We wish you do great in your finals. Also, if you are facing any doubts regarding the same, make sure to comment down so that our professional may reach out to you.

FAQs: Chapter 9 Class 12 Maths Solutions

Are NCERT Solutions for Class 12 Maths Chapter 9 important to study?

Yes. Chapter 9 Class 12 Maths is an important topic to study for 12th board preparation.

Can I get a perfect score on the NCERT Solutions for Class 12 Maths Chapter 9?

Yes. KopyKitab’s experts created the NCERT Solutions for Class 12 Maths Chapter 9 after performing extensive research on each term. It will help you to score 100 in Class 12 Maths.

Can I receive an overview of the Ch 9 Maths Class 12 Solutions exercises?

Yes. You can receive an overview of the Ch 9 Maths Class 12 Solutions exercises from the above blog.

How many exercises are there in Chapter 9 of the NCERT textbook for Class 12 Maths?

In total, there are 6 exercises in Chapter 9 of Class 12 Maths.

Where can I download Maths Chapter 9 Class 12 NCERT solutions?

You can download NCERT Solutions for Class 12 Maths Chapter 9 from the above blog.

Are NCERT Solutions for Class 12th Maths Chapter 9 sufficient for board examinations preparation?

Yes. NCERT Solutions for Class 12 Maths Chapter 9 is sufficient for board examinations preparation.

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