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NCERT Solutions for Class 12 Maths Chapter 9 Exercise 9.1 Differential Equations - PDF Download

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NCERT solutions for class 12 maths chapter 9 exercise 9.1 Differential Equations explained the basic concepts of differential equations such as order and degree of a differential equation. The academic team of mathematics at eSaral have described these concepts in a simple and precise manner for students to solve questions related to this exercise in exams. You have to be aware of the fact that order and degree (if defined) of a differential equation are always positive integers. 

Ex 9.1 class 12 maths chapter 9 has a total of 12 questions. All the questions in ex 9.1 are easy to attempt that are based on order and degree of a differential equation. You have to keep the fact in mind that not all the differential equations can be solved, you can only find the degree of the differential equation of polynomial equations in its derivatives. If you remember these facts while solving the exercise questions, you can solve each question without any confusion.

Class 12 maths chapter 9 exercise 9.1 NCERT solutions are provided here in PDF format which can be downloaded from the official website of eSaral. You can easily download these PDFs for free and practice all the exercise questions for preparing exams.

Topics Covered in Exercise 9.1 Class 12 Mathematics Questions

Ex 9.1 class 12 maths solutions cover the topic of basic concepts of differential equations like order of a differential equation and degree of a differential equation. eSaral’s experts of mathematics have  provided detailed explanations of these topics for students to perform well in examinations.

1.

Basic Concepts of Differential Equations

  • Order of a differential equation

  • Degree of a differential equation

  1. Basic Concepts of Differential Equations

An equation involving derivatives of the dependent variable with respect to independent variable (variables) is known as a differential equation.

A differential equation involving derivatives of the dependent variable with respect to only one independent variable is called an ordinary differential equation.

  • Order of a differential equation

Order of a differential equation is defined as the order of the highest order derivative of the dependent variable with respect to the independent variable involved in the given differential equation.

  • Degree of a differential equation

Degree of a differential equation is defined if it is a polynomial equation in its derivatives.

By the degree of a differential equation, when it is a polynomial equation in derivatives, we mean the highest power (positive integral index) of the highest order derivative involved in the given differential equation.

Tips for Solving Exercise 9.1 Class 12 Chapter 9 Differential Equations

To solve questions in ex 9.1 class 12 maths ch 9, our subject experts of eSaral have combined some helpful tips for students that will be useful in their board exams.

  1. NCERT solutions for class 12 maths chapter 9 ex 9.1 aims at the basic concepts of differential equations. By going through the concepts of order and degree of differential equations, you will not face any confusion regarding answering questions.

  2. You must comprehend the meaning of differential equations and their applications for better evaluation of questions.

  3. The definitions of order of a differential equation and degree of differential equations must be learnt by students to solve questions asked in exams.

Importance of Solving Ex 9.1 Class 12 Maths Chapter 9 Differential Equations

There are a lot of benefits of solving problems in ex 9.1 class 12 maths chapter 9. Some of the advantages are explained here for your convenience.

  1. NCERT solutions for class 12 maths chapter 9 ex 9.1 combines all the essential topics related to exercise 9.1 questions to ensure in-depth knowledge of concepts.

  2. All the questions of ex 9.1 class 12 maths chapter 9 are solved with sequential manner and provide an easy to comprehend method to encourage a clear understanding of concepts that will be helpful in the final exam.

  3. NCERT solutions PDF for ex 9.1 class 12 maths have also provided answers for questions in an accurate and concise way to help you grasp the concepts easily.

  4. Solving ex 9.1 class 12 maths frequently will help you to understand the concepts properly that will build your self-confidence while solving questions in board exams.

Frequently Asked Questions

Question 1. Define order of a differential equation?

Answer 1. Order of a differential equation is defined as the order of the highest order derivative of the dependent variable with respect to the independent variable involved in the given differential equation.

Question 2. What do you mean by degree of a differential equation?

Answer 2. If a differential equation is a polynomial equation in its derivatives, it is defined as a degree of a differential equation.

 

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