NCERT Textbook Solutions for Class 12 Mathematics Chapter 9 Differential Equations in Hindi and English Medium for Session 2024-25. Chapter 9 of Class 12 NCERT Maths, Differential Equations, is an essential topic that builds on calculus concepts and introduces students to solving equations that involve derivatives. NCERT Textbook Solutions for Class 12 Mathematics Chapter 9 cover a variety of solved examples and exercise-wise solutions, making it easier for students to grasp the concepts. Whether you are practicing for CBSE board exams or revising mathematical formulas, these solutions are designed to help.

NCERT Textbook Solutions Class 12 Maths Chapter 9 Differential Equations

You can access the NCERT Class 12 Maths Chapter 9 solutions PDF download to study step-by-step explanations of problems. With detailed CBSE practice questions, NCERT solved examples and Board important topics, students gain confidence in their problem-solving skills. Resources like differential equations Class 12 Mathematics MCQs and assignment questions ensure thorough preparation. According to new syllabus and new NCERT books for 2024-25, there are only six exercises (including miscellaneous) in chapter 9 of 12th Mathematics.

Solving Differential Equations with NCERT Math Practice Questions

NCERT Class 12 Mathematics Textbook Chapter 9 question bank and practice questions are ideal for mastering the topic. Differential equations involve finding a function when its derivative or rate of change is known. NCERT Maths Book Class 12th Chapter 9 Exercise solved examples guide students in understanding how to approach such problems systematically. To make revision easier, key formulas of differential equations NCERT Class 12 are included in the solutions.

Practicing Class 12th NCERT Book differential equations important questions from CBSE previous year papers also helps students identify patterns and frequently tested concepts. For further clarity, students can refer to Class 12 Mathematics NCERT Book Chapter 9 notes, which summarize the important methods and problem-solving techniques.

Benefits of Using NCERT Mathematics Solutions for Differential Equations

NCERT Class 12th Mathematics Textbook Chapter 9 summary is a quick way to revisit all the essential points of differential equations guide before CBSE exams. Video lectures and detailed explanations, like those provided by Tiwari Academy, further enhance understanding. By solving NCERT Book Class 12 Maths Chapter 9 exercise solutions, students can strengthen their conceptual foundation and become familiar with exam-style questions.

To ensure students are fully prepared, NCERT Textbook resources also provide Class 12 differential equations sample papers. Using resources like NCERT Class 12 Maths Textbook Chapter 9 MCQs and video lectures enables visual learners to grasp the topic better. Whether working on Class 12 Math Chapter 9 problem-solving techniques or attempting a solution PDF, these resources ensure a well-rounded preparation for the exams.

Class: 12Maths
Chapter: 9Differential Equations
Number of Exercises:5 + Miscellaneous
Contents:Exercises Solution Extra Questions
Mode of Content:Text, PDF and Videos
Session:Academic Year 2024-25
Medium:Hindi and English
Class 12 Mathematics Chapter 9 Solutions

Important Points in Class 12 Maths Chapter 9 Differential Equations for Exams

Key concepts in Class 12 Maths Chapter 9 Differential Equations include the definition of differential equations, order and degree, methods of solving first-order linear equations and variable separable method. Focus on formulas, solved examples and important questions to strengthen problem-solving skills. Practice NCERT solutions and previous year questions for better preparation.

Day Topics to Cover Resources Practice
Day 1 Introduction to Differential Equations NCERT textbook, video lectures Solve examples from NCERT
Day 2 Order and Degree of Differential Equations Class 12 Maths Chapter 9 notes Practice MCQs
Day 3 Methods of Solving First-order Differential Equations NCERT solutions, BYJU’s app Attempt practice questions
Day 4 Variable Separation Method Solved examples, video lectures Solve NCERT exercises
Day 5 Complete Revision Chapter summary, question bank Attempt sample papers

NCERT solutions for Class 12 Maths Chapter 9

Class XII Mathematics Chapter 9 exercise 9.1, 9.2, 9.3, 9.4, 9.5 & miscellaneous exercises. Class 12 Maths question solutions are updated for new academic session 2024-25. Get the NCERT Textbook Exercise Solutions of all other subject are based on latest CBSE Syllabus. To access in mobile, get the NCERT Solutions Apps which work offline properly without internet.

12th Maths Chapter 9 Solutions

The descriptive solutions of 12th Maths chapter 9 Differential equations all exercises with miscellaneous exercise are given here to download in PDF format. Grade 12th NCERT Books and Offline apps are updated according to latest CBSE Syllabus. If you have any doubt in math, please visit to discussion forum and discuss you questions or provide your opinion.

Term related to Differential Equation
    • 1. Differential Equation:
      An algebraic equation containing differential terms is called differential equation.
    • 2. Order of Differential equation:
      The highest order derivative present in any differential equation, determines the order of it.
    • 3. Degree of Differential equation:
      If these are simplified so that the differential coefficients present in it are not in the irrational form, then the power of the highest order derivatives determines the degree of the differential equation.
    • 4. General Solution:
      The solution which contains a number of arbitrary constants equal to the order of the equation is called the general solution or complete integral of the differential equation.
    • 5. Particular Solution:
      Solution obtained from the general solution by given particular values to the constants are called particular solution.
Class 12 Mathematics Chapter 9 Differential Equations

Important Questions on 12th Maths Chapter 9

What is a differential equation?

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

What is an ordinary differential equation?

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

What do you meant by a partial differential equation?

A differential equation involving derivatives with respect to more than one independent variables is called a partial differential equation.

What is order in Differential equation?

Order of a differential equation is the order of the highest order derivative occurring in the differential equation.

What is degree in Differential Equations?

Degree of a differential equation is defined if it is a polynomial equation in its derivatives. Degree (when defined) of a differential equation is the highest power (positive integer only) of the highest order derivative in it.

What is different between a general solutions and a particular solutions.

A relation between involved variables, which satisfy the given differential equation is called its solution. The solution which contains as many arbitrary constants as the order of the differential equation is called the general solution and the solution free from arbitrary constants is called particular solution.

Questions from Board Papers

1. Solve the differential equation x(dy/dx) + y = x cos x + sin x, given that y = 1 when x = π/2. [Delhi 2017]
2. Find the particular solution of the differential equation (1 – y²) (1 + log x)dx + 2xy dy = 0, given that y = 0 when x = 1. [Delhi 2016]
3. Write the differential equation obtained by eliminating the arbitrary constant C in the equation representing the family of curves xy = C cos x. [Delhi 2015C]
4. Find the particular solution of the differential equation x)dy/dx) + y – x + xy cot x = 0, given that when x = π/2, y = 0. [Delhi 2015C]

5. Solve the differential equation x² dy + (xy + y²) dx = 0, given y = 1, when x = 1. [Delhi 2015C]
6. Solve the differential equation: (〖tan〗^(-1) y-x)dy=(1+y²)dx [Delhi 2015]
7. Find the particular solution of the differential equation dy/dx=xy/(x²+y²) , given that y = 1 when x = 0.

What are the key benefits of using NCERT Solutions for Class 12 Maths Chapter 9 Differential Equations?

NCERT PDF Solutions for Class 12 Mathematics Chapter 9 Differential Equations provide step-by-step guidance for solving problems involving derivatives and functions. NCERT Class 12th Mathematics solutions are structured to help students build a solid conceptual understanding and practice problem-solving techniques. By working through Class 12 Math NCERT Chapter 9 exercise solutions, students can familiarize themselves with different types of differential equations and learn methods to solve them. NCERT Class 12 Mathematics Textbook Chapter 9 notes, MCQ and solved examples ensure a thorough revision of all key topics. These benefits make NCERT solutions an indispensable tool for exam preparation.

How can I prepare for Class 12 Maths Chapter 9 Differential Equations effectively?

To prepare effectively for Class 12 Maths Chapter 9 Differential Equations, start by understanding the basics and formulas provided in the NCERT textbook. Use the NCERT Mathematics Class 12 Chapter 9 solved examples and practice questions to develop your problem-solving skills. Download the NCERT Class 12 Maths Chapter 9 solutions PDF to access detailed explanations for each exercise. Regular practice of important topics and past CBSE exam questions ensures a better understanding of the subject. Watching video lectures or referring to Class 12 Maths Chapter 9 notes can help clarify complex concepts, making preparation more efficient.

Where can I find reliable resources for Class 12 Differential Equations?

Reliable resources for Class 12 Differential Equations include the NCERT Solutions for Class 12 Maths Chapter 9, which are widely available online. You can download the Class 12 Maths Chapter 9 solution PDF or access resources like question banks, MCQs and solved examples from platforms like Tiwari Academy. For a comprehensive revision, refer to Class 12 Maths Chapter 9 notes and summaries that highlight key problem-solving techniques. Solving differential equations sample papers and practicing previous year questions are also helpful. These resources ensure you’re well-prepared for board exams with a strong grasp of the topic.

Last Edited: January 25, 2025
Content Reviewed: January 25, 2025
Content Reviewer

Sushant Mukherjee

Providing help in science for class 6 to 10. Adviser in Tiwari Academy for the science related subjects subject as well as videos contents. Ample teaching experience in schools. I am not only working for Tiwari Academy but also provide new ideas for the website and apps.