RS Aggarwal Class 12 Solutions Chapter-20 Homogeneous Differential Equations

RS Aggarwal Solutions

RS Aggarwal Class 12 Solutions Chapter-20 Homogeneous Differential Equations

Last updated date: 19th Apr 2024

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Class 12 RS Aggarwal Chapter-20 Homogeneous Differential Equations Solutions - Free PDF Download

Mathematics is a tough subject in itself and especially if the students are just trying to learn the basics. This is the time when they require more and more help from their teachers. Hence, we are here to make their jobs a little bit easier. We have RS Aggarwal Solutions Class 12 Chapter 20 available right here with us for the students. When students get to practise the solutions we have for them, they will be able to earn more marks in their exams and hence will be able to stay on top of the class.

Class 12 RS Aggarwal Chapter 20 – Homogeneous Differential Equations Solutions

Class 12 RS Aggarwal Chapter 20 is an important chapter for class 12 students for the board exams as well as for the competitive exams. In this chapter, students will learn about homogeneous differential equations of the first order and they will also learn how to convert one particular differential equation into a homogeneous equation. Students will also learn different formulas and methods that are used to convert the differential equations. There are other concepts such as homogeneous functions with other formulas that are useful for the students to understand the concept of this chapter. For example, students must know what a homogeneous differential equation is.

A homogeneous differential equation is a linear equation in which the functions are not known along with its derivatives. If f (x, y) dy = g(x, y) dx, and f and g are homogeneous functions of the same degree of x and y, then it is difficult to solve them without substitution.

Solved Examples

1. Form the differential equation representing the family of curves: y= b (x+a) where a and b are arbitrary constants.

Ans: y= b(x+a)---- (1)

Differentiation with respect to x, b

Again differentiation with respect to x, d2y/dx2 = 0 which is the required differential equation.

2. What is the order and degree of the differential equation

(dy/dx)3 + 2y d2y/dx2 = 0

Ans: The order of the above differential equation is 2 and the degree is 1.

FAQs on RS Aggarwal Class 12 Solutions Chapter-20 Homogeneous Differential Equations

1. Is the Class 12 RS Aggarwal Chapter 20 – Homogeneous Differential Equations Solutions – Free PDF Download useful for JEE Main Exam preparation?

For many students, the JEE Maths paper is one of the most challenging subjects to clear. RS Aggarwal will help you in getting started with the preparations. This, however, is not sufficient to pass, as students need to have sufficient practice with the concepts. Referring to other books dedicated to JEE preparation would give students an idea of the various types of questions. Students can access Vedantu's website for assistance with JEE preparation.

2. How to develop mathematical concepts through the use of Class 12 RS Aggarwal Chapter 20 – Homogeneous Differential Equations Solutions – Free PDF Download?

The following are the steps to help students make their basics of mathematical concepts strong:

To proceed, the first step is to learn and comprehend the theory presented in the chapter.
Always read the chapters in the order that they are presented in your textbook; do not mix and match.
Attendance at all classes is mandatory; no class should be missed.
After attending class, you should read the theory section of the textbook. While reading, make an effort to comprehend the concept and jot down any particularly noteworthy formulas.
Please make a mental note of the mathematics formula. This can be accomplished through revision and meticulous note-taking in class.
When you are confident that the theory part is clear and have developed clarity in the concept, you should move forward. Simply revise the chapter's formulas and keep a separate notebook for Maths formulas at all times, if possible. The next step is to improve your problem-solving abilities.

3. Why is it necessary to study with the Class 12 RS Aggarwal Chapter 20 – Homogeneous Differential Equations Solutions – Free PDF Download?

RS Aggarwal's Solution for Class 12th Mathematics is widely regarded as one of the best available and instils excitement in students studying it. The solutions cover all of the topics and ensure that all of the major questions about this chapter have been answered. All of the solutions have been presented in extremely clear and concise procedures. The RS Aggarwal Solution teaches you the chapters of Class 12th Mathematics and helps you prepare for competitive exams such as JEE. This book helps students in Class 12 learn all of the topics step by step without losing interest or enjoyment in learning something new.

4. To solve Class 12 Maths Questions, what is the best approach and strategy to use?

To achieve good marks in the Class 12 examination, one must have a well-thought-out strategy, particularly for subjects like Mathematics. Students must emphasise question solving and effective learning as a critical component of their education. Once you have completed your revision of the entire syllabus, you must solve the Class 12 Maths Sample Papers. Try to write all of your answers first, and then use the Class 12 Solution to figure out where you went wrong and what approach you should have taken to solve the questions the right way. Practice papers must be completed in a specified amount of time without the use of any notes, reference books, or formula sheets, among other things.

5. Where can you find Class 12 RS Aggarwal Chapter 20 – Homogeneous Differential Equations Solutions – Free PDF Download?

The solutions to RS Aggarwal's Class 12th Maths problems are available on the official Vedantu website. The solutions are organised by topic to make it easier for students to find what they are looking for. The solutions are available for download in PDF format at no cost. RS Aggarwal is one of the most well-known books, and it contains an almost limitless number of problems. Being able to resolve all of RS Aggarwal's problems is a huge part of the practice. It covers all of the significant topics and reinforces the students' concepts. If you're a student in Class 12, you're probably already working through the book.