All the solved problems of Differential Equations Class 12 are available in the PDF format on ANAND CLASSES’s official website. You can easily access our Differential Equations Class 12 NCERT Solutions PDF online from any device and refer to it for quick revision at your convenience. The subject matter experts have taken the utmost care in providing complete step-by-step solutions for each of the topics in this chapter. Our Class 12 Differential Equations Solutions play a crucial role in your CBSE board exams and also help in preparing for all the prestigious competitive exams.

Class 12th Maths Chapter 9 has many exercises and solved examples that are spread across different sections and topics. Our well-designed solutions can clear your concepts and guide you with efficient time management during stressful exam schedules. This is a quick way to recap all that you learn in the Differential Equation Class 12th chapter. You will get assistance from our experienced teachers whenever you have doubts. Accessing the online NCERT Solutions for Class 12 Maths Chapter 9 PDF at ANAND CLASSES is a wise decision for you to excel in your exams.

The NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations are provided here with the best possible explanations for every question available in the chapter. This chapter is part of the CBSE Syllabus. Students learn about the order and degree of differential equations, the method of solving a differential equation, their properties and much more in this chapter. Solving the problems in the different exercises in this chapter using the NCERT Solutions for Class 12 Maths can help the students create a strong grasp of the concepts of Differential Equations.

NCERT Solutions for Class 12 Maths Chapter 9 – Free PDF Download

Chapter 9 of NCERT Solutions for Class 12 Maths covers the concepts of Differential Equations in easy-to-understand methods, which favours the students in their board exam preparation. The answers for each question provided at ANAND CLASSES’S can help the students understand how the questions have to be actually answered. Students can download these NCERT Solutions for Class 12 Maths Chapter 9 for free and practise them whenever they wish to.

NCERT Solutions for Class 12 Maths Chapter 9 – Differential Equations

The major concepts of Maths covered in Chapter 9 – Differential Equations of NCERT Solutions for Class 12 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

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 on Chapter 9 Solutions 18 Questions

NCERT Solutions for Class 12 Maths Chapter 9- Differential Equations

The chapter Differential Equations belongs to the unit Calculus, which adds up to 35 marks of the total marks. There are 6 exercises along with a miscellaneous exercise in this chapter to help students understand the concepts of Differential Equations clearly. Chapter 9 of NCERT Solutions for Class 12 Maths discusses the following:

1. An equation involving derivatives of the dependent variable with respect to the independent variable (variables) is known as a differential equation.
2. The order of a differential equation is the order of the highest order derivative occurring in the differential equation.
3. The degree of a differential equation is defined if it is a polynomial equation in its derivatives.
4. The 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.

Features of NCERT Solutions for Class 12 Maths Chapter 9 – Differential Equations

Learning the chapter Differential Equations using the NCERT Solutions enables the students to understand the following:

Definition, order and degree, general and particular solutions of a differential equation, formation of differential equation whose general solution, solutions of differential equations by the method of separation of variables, solutions of homogeneous differential equations of the first order and first degree, and solutions of linear differential equation.

Frequently Asked Questions (FAQs) on NCERT Solutions for Class 12 Maths Chapter 9

Q1

What is a differential equation in Chapter 9 of NCERT Solutions for Class 12 Maths?

The equation which involves derivatives of dependent variables with respect to independent variables is called a differential equation. This is one of the important chapters in Class 12, as these concepts have numerous applications in our daily life. Students are advised to solve the questions in this chapter using the solutions designed by the experts at ANAND CLASSES’S to score well in Class 12 board exams.

Q2

What is the variable separable method in Chapter 9 of NCERT Solutions for Class 12 Maths?

The variable separable method is used in equations in which the variables can be separated completely. This means the terms having y should remain with dy, and the terms having x should remain with dx. Students can understand this concept more efficiently by practising the solutions framed by the expert faculty at ANAND CLASSES’S.

Q3

Do NCERT Solutions for Class 12 Maths Chapter 9 have answers for all the textbook questions?

Yes, the NCERT Solutions for Class 12 Maths Chapter 9, available in PDF format, is designed by the subject experts as per the textbook questions. These solutions are completely based on the latest CBSE Syllabus 2023-24 and cover all the important concepts for the board exam. The textbook problems are solved in a stepwise manner as per the marks weightage in the CBSE Board exams. Both chapter-wise and exercise-wise PDF links are available on ANAND CLASSES’S website, which can be accessed by the students to get their doubts clarified instantly.

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