Class 12th Math Differential Equations NCERT Solution CBSE 2023

# Chapter 9 Differential Equations

A differential equation is a mathematical expression that connects one or more unknown functions and their derivatives. It is an important chapter, and students must cover this chapter in detail to score well in exams.

In this article, Vidyakul has provided a complete notes for Class 12 Maths Chapter 9 Differential Equations to help students master this chapter. All the important topics like formulas list, examples and solutions are covered, and each answer comes with a detailed explanation for understanding the concepts. Read more about the NCERT notes for the chapter 9.

### Points to Remember

Below we have provided some of the important points to remember for NCERT notes for Class 12 Maths Chapter 9 to ace the exams:

• This is an equation that contains an independent variable, a dependent variable, and differential coefficients of the dependent variable with respect to the independent variable.

• The order of a differential equation is the order of the highest order derivative appearing in the equation. The order of this is a positive integer.

• The general solution of the differential equation is the solution that contains as many arbitrary constants as the order of the differential equation.

• A particular solution is the solution obtained by assigning specific values to the arbitrary constants in the general solution of a differential equation.

• A differential equation with more than one degree is a non-linear equation. Any differential coefficient has an exponent greater than one.

• A dependent variable’s exponent is greater than one. There are products that contain the dependent variable and its differential coefficients.

### Topics and Sub-topics

Leading experts in Vidyakul conservation solutions for 12th grade math. Detailed step-by-step explanations of solutions allow students to improve their knowledge.

This is the chapter that comes under the unit Calculus. It carries a weightage of 44 marks divided between 5 chapters.

 Topic Name Topic Name Basic Concepts Procedure to Form a Differential Equation That Will Represent a Given Family of Curves Order of a Differential Equation Methods of Solving First Order, First Degree Differential Equations Degree of a Differential Equation Differential Equations With Variables Separable General and Particular Solutions of a Differential Equation Homogeneous Differential Equations Formation of a Differential Equation whose General Solution is given Linear Differential Equations