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NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.4 Differential Equations - PDF Download

NCERT solutions for class 12 maths chapter 9 exercise 9.4 Differential Equations discusses the topic homogeneous differential equations to find solutions of exercise questions. Ex 9.4 class 12 maths solutions are explained by eSaral’s subject experts with in-depth analysis of concepts. Solving questions in ex 9.4 class 12 maths chapter 9 will help you to get through with the concepts easily. All the questions in ex 9.4 are solved with deep understanding of concepts of homogeneous differential equations to score good marks in board exams.

Class 12 maths chapter 9 exercise 9.4 NCERT solutions comprise a total of 17 questions based on the topic homogeneous differential equations. As these questions are medium to difficult level, you need to be well versed with the concept mentioned above. You have to focus on every step of the process for getting the correct answer. You can also download the NCERT solution PDF for preparing exams. These solution PDFs are provided here for free to download. Download the free PDF from the official website of eSaral and practice all the questions to achieve a high score in the examination.

Topics Covered in Exercise 9.4 Class 12 Mathematics Questions

Ex 9.4 class 12 maths chapter 9 covers an important topic of homogeneous differential equations. Check the detailed explanation mentioned below.

 1 Homogeneous Differential Equations
1. Homogeneous Differential Equations

A differential equation which can be expressed in the form dydx=f(x,y) or dydx=g(x,y) where, f (x, y) and g(x, y) are homogenous functions of degree zero is called a homogeneous differential equation.

You can say, a differential equation is said to be a homogeneous differential equation in which all the functions are of the same degree.

Tips for Solving Exercise 9.4 Class 12 Chapter 9 Differential Equations

Questions in ex 9.4 class 12 maths ch 9 are difficult to solve if you don’t understand the proper method of solving questions so here, our subject experts have provided some useful tips that you must follow to solve exercise questions.

1. Students should try to solve the problems on their own. If they find it difficult for solving sums then must follow the NCERT solutions for ex 9.4 class 12 maths for better comprehension of concepts.

2. While solving the questions, students must be mindful of the calculation part as it helps in improving time management skills.

3. The concept of homogeneous differential equations is very important for completing this exercise. You must grasp all the essential points and terms related to that concepts before solving ex 9.4 class 12  maths.

Importance of Solving Ex 9.4 Class 12 Maths Chapter 9 Differential Equations

Here, you will get numerous benefits of solving ex 9.4 class 12 maths chapter 9 Differential Equations.

1. The topic of homogeneous differential equations has been described by the academic team of mathematics at eSaral that will help you understand the concepts to solve questions of ex 9.4 class 12 maths.

2. The NCERT solution PDFs provide solved answers in sequential and precise manner for preparing for exams.

3. You will experience error-free learning with the help of NCERT solutions for class 12 maths chapter 9 exercise 9.4.

4. The answers which are provided in NCERT solutions are accurate and in simple language. You can use them for practicing questions of ex 9.4.

Question 1. What are homogeneous differential equations?

Answer 1. An equation which contains differentiation and functions with a set of variables is said to be homogeneous differential equations. A function F(x, y) is said to be a homogeneous function of degree n if F(λx, λy) = λn F(x, y) for any nonzero constant λ.

Question 2. Write two examples of homogeneous differential equations?

Answer 2. Here are the two examples of homogeneous differential equations.

1. dy/dx = 17x2(x-y)/18xy2

2. dy/dx = (5x2 + 6xy)/(3xy - y2)