CBSE Class 12 Mathematics Chapter 9 Differential Equations Revision Notes: The 2024 board exams are around the corner and it’s time to put down the books and begin revising the concepts. Mathematics is a subject that requires substantial practice and thorough revision. In the last stage of the class, students are advised to revise what they know rather than pick new topics to learn.
The CBSE Class 12 board exams are set to start from February 15, 2024, and the mathematics paper will be held on March 9. The ninth chapter in the Class 12 math books is Differential Equations. It’s one of the most important chapters in the 12th maths syllabus and holds a lot of importance in the final exam as part of the calculus section.
You can check out the CBSE Class 12 Chapter 9 Differential Equations revision notes here, along with additional study resources like mind maps and multiple-choice questions.
CBSE Class 12 Maths Chapter 9 Differential Equations Revision Notes
Basic Definitions and Summary:
An equation involving derivatives of the dependent variable with respect to independent variable (variables) is known as a differential equation.
Order of a differential equation is the order of the highest order derivative occurring in the differential equation.
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.
*Order and degree (if defined) of a differential equation are always positive integers.
A function which satisfies 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 a general solution and the solution free from arbitrary constants is called a particular solution.
Variable separable method is used to solve such an equation in which variables can be separated completely i.e. terms containing y should remain with dy and terms containing x should remain with dx
View and download the full PDF for CBSE Class 12 Mathematics Chapter 9 Differential Equations Revision notes below.
