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NCERT Solutions for Class 12 Maths

NCERT Solutions for Class 12 Maths Chapter 9 Free PDF Download

NCERT Solutions for Class 12 Maths Chapter 9 – Differential Equations

Class 12 is a pinnacle, a milestone in the education,  performance in class 12 is generally considered of utmost importance, so we have provided you with the NCERT solutions for class 12 maths chapter 9  to make this even more convenient and easy. These NCERT Solutions explain each and every concept in detail and in easy language. These solutions are important for better understanding and scoring higher in exams. Especially for preparation of competitive entrance exams like JEE Main, JEE Advanced, NEET, etc.

NCERT solutions for class 12 maths chapter 9 are provided which are prepared by our expert faculties to help you in board exam preparations. NCERT solutions help you to solve the problems easily and are prepared according to the CBSE syllabus and exam pattern so that you score good marks in exams.

In NCERT solutions for class 12 maths chapter 9 provides a detailed and stepwise explanation of each answer to the questions given in the exercises of the Class 12 NCERT textbook and with Toppr app, you can download it for free.

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CBSE Class 12 Maths Chapter 9 – Differential equation NCERT Solutions

In NCERT solutions for class 12 maths chapter 9, you will learn the concept of differential equation order and degree, general and particular solutions of a differential equation, formation of the differential equation, solution of differential equations by the method of separation of variables, solutions of homogeneous differential equations of the first order and first degree.

Sub-topics covered under NCERT Solutions for Class 12 Maths Chapter 9

  • 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

NCERT Solutions for Class 12 Maths Chapter 9

In NCERT solutions for class 12 maths chapter 9, you will learn about order and degree of differential equations, method of solving a differential equation, their properties. Let us now discuss the subtopics in detail.

ncert solutions for class 12 maths chapter 9

9.1 – Introduction

In this, you will study the brief introduction of the concept of the differential equation, its types, formation, methods of solving a differential equation.

9.2 – Basic Concepts

In this, you will study differential equation which includes dependent variable, independent variable, and differential coefficients.

9.2.1 – Order of a differential equation

In this, you will learn about the order of the equation i.e. highest derivative order in the equation.

9.2.2 – Degree of a differential equation

In this, you will learn about the degree of equation i.e. derivative of the highest order in the equation.

9.3 – General and Particular Solutions of a Differential Equation

In this you study about a general and particular solution is the relation between the variables and the solution of the differential equation, a particular solution is obtained by particular values to the constants in the general solution.

9.4 – Formation of a Differential Equation whose General Solution is given

In this, you will learn to make the equation by differentiation.

9.4.1- Procedure to form a differential equation that will represent a given family of curves

In this, you will learn the order of a differential equation representing a family of curves is same as the number of arbitrary constants present in the equation corresponding to the family of curves.

9.5 – Methods of Solving First Order, First Degree Differential Equations

In this, you will learn to solve the differential equation of first order by inspection method.

9.5.1- Differential equations with variables separable

In this, you will learn to solve the differential equation of first order by variable separable method, differential equation reducible to the variable separable method.

9.5.2 – Homogeneous differential equations

In this, you will learn to solve the differential equation of first order by homogeneous differential equation, differential equations reducible to homogeneous equation.

9.5.3 – Linear differential equations

In this you will learn to solve the differential equation of first order by exact differential equation, necessary and sufficient condition for an equation to be an exact differential equation, differential equation reducible to linear form, Bernoulli’s equation, Clairaut Form for the differential equation.

You can download NCERT Solutions for Class 12 Maths Chapter 9 by clicking on the button below

ncert solutions for class 12 maths chapter 9 pdf download

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