Table of Contents
Subject specialists have created NCERT Exemplar Solutions for Class 12 Maths Chapter 9 Differential Equations, which includes thorough solutions for reference. All of the questions from the textbook’s exercises are answered here. Students can use these answers to help them prepare for their exams. The NCERT Exemplar Solutions for Class 12 provide useful solutions for improving conceptual knowledge and help in JEE preparation.
The solutions are carefully solved using student-friendly terms while still adhering to the norms that must be followed when solving NCERT Exemplar Solutions for Class 12. Practicing these answers can be incredibly advantageous not only in terms of exams but also in terms of helping Class 12 pupils perform well in upcoming competitive exams.
The approaches for answering have been given special consideration to stay on target while not deviating from the intended answer. Because time is so important in exams, excellent time management when answering questions is essential for getting the best results.
The concepts covered in Chapter 9- Differential Equations of NCERT Exemplar Solutions for Class 12 are as follows:
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
The number of questions included in the exercise is given below:
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: 18 Questions
The chapter Differential Equations is part of the Calculus unit, which accounts for 35 of the total marks. This chapter contains six exercises and a miscellaneous activity to assist students grasp the fundamentals of Differential Equations. The following topics are covered in Chapter 9 of NCERT Exemplar Solutions for Class 12 Maths:
- A differential equation is an equation that involves derivatives of the dependent variable with regard to independent variables (variables).
- The order of a differential equation is the order of the differential equation’s highest order derivative.
- If a differential equation’s derivatives are polynomial, the equation’s degree is defined.
- The maximum power (positive integer only) of the highest order derivative in a differential equation is its degree (when defined).
- The solution of a differential equation is a function that satisfies it. A general solution is one that contains as many arbitrary constants as the order of the differential equation, while a particular solution is one that is devoid of arbitrary constants.
- We differentiate the function as many times as the number of arbitrary constants in the given function and then eliminate the arbitrary constants to build a differential equation from it.
- The variable separable method is used to solve an equation in which the variables may be entirely separated, i.e., terms including y should stay with dy and phrases containing x should stay with dx.
Key Features of NCERT Exemplar Solutions for Class 12 Maths Chapter 9- Differential Equations
Understanding the content of the chapter The NCERT Exemplar Solutions for Differential Equations help students comprehend the following:
A differential equation’s definition, order and degree, general and special solutions. The formation of a differential equation with a given general solution. Solutions of homogeneous differential equations of first order and first degree, as well as solutions of differential equations using the separation of variables approach. Linear differential equation solutions of the type:
Frequently Asked Questions
What is a differential equation in Chapter 9 of NCERT Exemplar Solutions for Class 12 Maths?
A differential equation is an equation that involves derivatives of dependent variables with regard to independent variables. This is a crucial chapter in Class 12 since the topics covered have countless implications in our daily lives. To do well in Class 12 first and second-term exams, students should solve this chapter utilizing the solutions created by infinity learn specialists.
What is the variable separable method in Chapter 9 of NCERT Exemplar Solutions for Class 12 Maths?
In equations where the variables can be entirely separated, the variable separable approach is utilised. This indicates that terms beginning with y should be replaced with dy, while terms beginning with x should be replaced with dx. Using the solutions framed by the expert faculty at Infinity learn, students can better understand this idea.
Do NCERT Exemplar Solutions for Class 12 Maths Chapter 9 have answers for all the textbook questions?
The NCERT Exemplar Solutions for Class 12 Maths Chapter 9 are created by subject specialists and are accessible in PDF format. These solutions are based entirely on the most recent CBSE Syllabus 2021-22, and they cover all of the key ideas for the second term exam. The textbook questions are addressed in a step-by-step fashion based on the weighting of the marks in the second-term exams. INFINITY LEARN has chapter-by-chapter and exercise-by-exercise PDF links that students can use to get their questions answered quickly.
Why Opt for Infinity Learn?
In this chapter Infinity Learn provides videos, notes, NCERT textbook solutions, other practice book solutions and assignments that help you learn the concepts and to memorise the concepts for entrance exams and board exams. Most important, Infinity learn provide instant doubt support by subject experts.
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