---
type: "Chapter"
knowledge_type: "chapter"
entity_type: "chapter"
id: "66dfdfaa3f8b4e9e69bf7f58"
title: "Differential Equations"
slug: "differential-equations"
chapter_number_in_book: "3"
board: "CBSE"
curriculum: "CBSE"
class: "Class 12"
subject: "Mathematics"
book: "Mathematics Part - II"
canonical_url: "https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-differential-equations"
markdown_url: "https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-differential-equations.md"
source_type: "examSubjectBookChapter"
source_id: "66dfdfaa3f8b4e9e69bf7f58"
source: "Edzy"
source_pdf: "https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/539661bc-10fe-4ea4-b527-37e379d59d89.pdf"
book_page_start: "300"
book_page_end: "305"
book_page_count: "6"
starts_on_page: "300\"\\.ends_on_page: \"305"
ends_on_page: "305"
version: "1"
last_updated: "2026-06-25"
svg_icon: "https://edzy-ai.s3.ap-south-1.amazonaws.com/academic/class-12/66dfdfaa3f8b4e9e69bf7f58.svg"
book_svg_icon: "https://edzy-ai.s3.ap-south-1.amazonaws.com/academic/class-12/66ae541b191fdf5766655be0.svg"
subject_svg_icon: "https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/1639aa97-a812-407a-8e9d-81ef4ccc868a.svg"
color_name: "Sky-blue"
color_light_foreground: "#0EA5E9"
color_light_background: "#E8F4F8"
color_dark_foreground: "#2FBDFD"
color_dark_background: "#2A3A4A"
---

# Differential Equations
Differential Equations is chapter 3 in Mathematics Part - II, a CBSE Class 12 book for the subject Mathematics on Edzy.

## Knowledge Snapshot
| Field | Details |
| :--- | :--- |
| Board | CBSE |
| Curriculum | CBSE |
| Class | Class 12 |
| Subject | Mathematics |
| Book | Mathematics Part - II |
| Chapter | Differential Equations |
| Chapter Number In Book | 3 |
| Chapter Slug | differential-equations |
| Pages | 300-305 |
| Page Count | 6 |
| Source PDF | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/539661bc-10fe-4ea4-b527-37e379d59d89.pdf |
| Last Updated | 2026-06-25 |

## Chapter Overview
In this chapter, we will study the essential concepts related to differential equations, including the basic types, general and particular solutions, and methods for solving first order - first degree differential equations. Special attention will be given to the formulation and applications of these equations across various scientific domains.

## Topic Inventory
| No. | Topic ID | Topic |
| :--- | :--- | :--- |
| 1 | 69aa6054a243cecf961fa535 | Introduction |
| 2 | 69aa6054a243cecf961fa538 | Basic Concepts |
| 3 | 69aa6054a243cecf961fa53a | General and Particular Solutions of a Differential Equation |
| 4 | 69aa6054a243cecf961fa53d | Methods of Solving First Order, First Degree Differential Equations |

## Topic-Wise Extracted Content
### Introduction
In Class XI and in Chapter 5 of the present book, we discussed how to differentiate a given function f with respect to an independent variable. An equation of the form dy/dx = g(x) is known as a differential equation. These equations arise in a variety of applications, making an in-depth study essential in modern scientific investigations.

### Basic Concepts
A differential equation generally involves the derivative(s) of a dependent variable with respect to independent variable(s). The highest order derivative defines its order, while the presence of polynomial equations can determine its degree.

### General and Particular Solutions of a Differential Equation
The general solution of a differential equation contains arbitrary constants, while the particular solution is derived from setting specific values for these constants. Examples illustrate the verification of functions as solutions to differential equations.

### Methods of Solving First Order, First Degree Differential Equations
This section covers methods for solving first order - first degree differential equations, including the separation of variables method, which allows for integration to find solutions in the form of H(y) = G(x) + C.

## Chapter Summary
The chapter on Differential Equations introduces the fundamental concepts, types, solutions, and methods necessary for understanding and applying differential equations in various fields of study.

## Key Ideas
- Differential equations are essential in multiple scientific and practical applications.
- The order and degree of a differential equation are critical in classifying and solving these equations.
- Solutions can be general, containing arbitrary constants, or particular, based on specific values.

## Important Chapter Facts
- The chapter is Differential Equations.
- The chapter number in the book is 3.
- The subject is Mathematics.
- The book is Mathematics Part - II.
- The class is Class 12.
- The source PDF is https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/539661bc-10fe-4ea4-b527-37e379d59d89.pdf.
- The chapter covers pages 300-305.
- The chapter page count is 6.

## Related OKF Entities
| Entity Type | Title | URL |
| :--- | :--- | :--- |
| Chapter Canonical Page | Differential Equations | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-differential-equations |
| Chapter Markdown | Differential Equations | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-differential-equations.md |
| Source PDF | Differential Equations | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/539661bc-10fe-4ea4-b527-37e379d59d89.pdf |

## Source Attribution
| Field | Value |
| :--- | :--- |
| Source | Edzy |
| Reference Type | examSubjectBookChapter |
| Reference ID | 66dfdfaa3f8b4e9e69bf7f58 |
| Chapter ID | 66dfdfaa3f8b4e9e69bf7f58 |
| Canonical URL | https://www.edzy.ai/cbse-class-12-mathematics-mathematics-part-ii-differential-equations |
| Markdown URL | https://www.edzy.ai/okf/chapter/cbse-class-12-mathematics-mathematics-part-ii-differential-equations.md |
| Source PDF | https://edzy-ai.s3.ap-south-1.amazonaws.com/edzy-express-ts/539661bc-10fe-4ea4-b527-37e379d59d89.pdf |
| Last Updated | 2026-06-25 |