NCERT Solutions for Class 12 Maths Exercise 9.1

NCERT Solutions for Class 12 Maths Exercise 9.1: Chapter 9 in CBSE Class 12 is extremely important for Class 12 board exams. The name of the chapter is Differential Equations. Class 12 Differential Equations carries a weightage of 8 marks. NCERT Class 12 Maths solutions are provided by the subject experts at Embibe. Students can refer to these solutions and practice for.

NCERT exercises Class 12 Chapter 9 provides questions that demand in-depth knowledge from the students. Differential Equations deal with topics like order and degree of a differential equation, general and a particular solution, method of solving equations, and so on. These are very important for competitive exams. Students can go through the topics and practice the concepts through the NCERT exercise questions. Read through the article to view Exercise 9.1 Class 12, differential equations books, differential equations class 12 formula and practice! 

NCERT Solutions for Differential Equations Exercise 9.1 Class 12 Maths: Overview

Differential equations class 12 is an important chapter like mentioned above. Here, we have provided an overview of the exercise 9.1 class 12. Students can get a brief understanding of the exercise before we get in to more details!

Differential Equations NCERT Solutions Exercise 9.1 Class 12 Maths – PDF

Differential equations Class 12 NCERT solutions is very important for the students to be thorough with. Ex 9.1 Class 12 deals with the topics, introduction to differential equation, basic concepts of differential equation, order of a differential equation, and degree of a differential equation.

Example Questions with Solutions of Differential Equations

Students can refer to the questions given below as examples and refer to the solutions. These are the type of questions asked from the chapter.

1. Determine order and degree (if defined) of differential equation ? 4? /?? 4 + sin(? ′′′) = 0

Solution: Differential equation given is ? 4? /?? 4 + sin(? ′′′) = 0
We see that the highest order derivative present in the differential equation is 4. Therefore, its order is four. The given differential equation is not a polynomial equation in its derivatives. Hence, its degree is not defined.

2. Determine order and degree (if defined) of differential equation ? ′ + 5? = 0

Solution: The differential equation given is ? ′ + 5? = 0. The highest order derivative present in the differential equation is ?′. Therefore, its order is one. It is a polynomial equation in its derivatives and the highest power raised to ?′ is 1. Its degree is one.

Differential Equations Class 12 NCERT Solutions: Chapter Overview

Before students go to check the Ex 9.1 Class 12, it is very important to have a clear idea about what is differential equations and its uses. We have provided the description of the Chapter Differential equation which every student must know in the following passages.

Differential equation is an equation that depends upon the derivatives of dependent variable in accordance with independent variable. It can be related to one or numerous function and their derivatives. There are ordinary and partial derivatives. Here are a few fields where differential equations are used:

• Engineering
• Mathematics
• Physics
• Chemistry
• Biology
• Anthropology
• Geology
• Economic

A few types of Differential Equations discussed in the chapter are:

• Ordinary Differential Equation
• Partial Differential Equation
• Linear Differential Equation
• Non-linear Differential Equation
• Homogenous Differential Equation
• Non-homogenous Differential Equation

Practice 12th CBSE Exam Questions

Benefits of Solving NCERT Questions and Finding Solutions

There are numerous advantages of NCERT in-text questions and solving them. Here are a few reasons on why a student should be thorough with the NCERT questions and their solutions.

• In-depth knowledge on the concepts: NCERT books are the main source of information for most of the students those who are practicing for any board or competitive exams! This is because the most challenging topics are explained in the most comprehensive manner in the NCERT textbooks. An in-depth knowledge is provided topic-wise. By solving the NCERT questions, students get a clear idea on the subject. When it comes to Maths, clarity is very important and solving the in-text solutions will give the students the necessary clarity of concepts. Students should do extensive practice sessions to be better at Maths.
• Important questions under CBSE curriculum: The CBSE board conducts the Class 12 board exam every year and students often find them challenging. This is due to the increasing standard of questions. When a student solves the NCERT solutions and practices them regularly, the board exams can be tackled easily. Most of the questions asked in the Class 12 Maths board exam are based on the NCERT in-text questions.
• Better marks with topic-wise clarity: NCERT in-text questions will lead a student to score the best marks. Even if they do not have time to practice the extra questions from the syllabus, solving NCERT questions are more than enough to score good marks for exam. There are exercises that covers each topic and hence students will get the topic-wise clarity.
• Best way to prepare for competitive exams: If the students are aiming for cracking the competitive exams then NCERT books are the best way of preparation. NCERT books can lay a strong foundation with respect to topics of any subject. Henceforth, students can understand advance topics with ease in future.

FAQs on NCERT Solutions for Class 12 Maths Exercise 9.1

Below we have provided some frequently asked questions on NCERT Solutions for Class 12 Maths Exercise 9.1:

Q.1. Where can I download the Ex 9.1 Class 12 Maths?
Ans: All the exercises of Chapter 9 Maths Class 12 can be downloaded from Embibe. Embibe provides the accurate answer key for each exercises that are given by the subject experts. Also, students can practice the questions for and access the study materials as well. There are mock tests, video lessons, and feedback sessions given by Embibe for the students of cost! So, the exercise 9.1 Class 12 Maths is given and can be downloaded from Embibe.

Q.2. What are the few important topics under Differential Equations?
Ans: A few of the important topics are seperable equations, homogenous equations, Bernoulli equations, Riccati equations, radioactive decay, and barometric decay under first-order differential equations, reduction of order, second-order linear non-homogenous differential equations, second-order Euler equation, and so on under second-order differential equations.

Q.3. Is the number of arbitrary constants of a differential equation of fourth order 4?
Ans: As we know that the the number of constants in the general solution of a differential equation of order n is equal to its order, the number of constants in the general equation of the 4th order differential equation is four.

Q.4. When will be Maths Class 12 board exam be held?
Ans: The Maths Class 12 board exam will be held in June 2025 (tentative) from 10.30 a.m. to 12.30 p.m.

Q.5. Name some methods to solve differential equations.
Ans: The methods to solve a differential equation is:

• Inspection method
• Homogenous differential equation
• Variable separable
• Linear differential equation

Attempt 12th CBSE Exam Mock Tests

Related Links:

We hope that the article on NCERT Solutions for Differential Equations Exercise 9.1 Class 12 Maths will help you solve all your doubts. With the proper study plan and guidance, it is very easy to score great marks in the Maths exams.

If any more doubts persist, feel to drop a comment below. We will get back to you as soon as possible. Stay tuned to Embibe for latest news and updates.