# NCERT solutions for Class 12 Maths Chapter 9

NCERT solutions for class 12 Maths chapter 9 Differential equations exercise 9.1, 9.2, 9.3, 9.4, 9.5, 9.6 & miscellaneous exercises in PDF form to free download updated for new academic session 2020-2021.

Get the NCERT Solutions of all other subject based on latest CBSE Syllabus for 2020-21. Download NCERT Solutions Offline Apps which work properly without internet also.## NCERT solutions for Class 12 Maths Chapter 9

Class: | 12 |

Subject: | Maths |

Chapter 9: | Differential Equations |

### 12th Maths Chapter 9 Solutions

NCERT solutions for class 12 Maths chapter 9 Differential equations all exercises with miscellaneous exercise are given below to download in PDF form free. NCERT Books and Offline apps are updated according to latest CBSE Syllabus. Ask your doubts related to NIOS and CBSE Board through discussion forum and reply the questions asked by others.

### Chapter 9 Solutions in PDF

- Download Exercise 9.1 in PDF
- Download Exercise 9.2 in PDF
- Download Exercise 9.3 in PDF
- Download Exercise 9.4 in PDF
- Download Exercise 9.5 in PDF
- Download Exercise 9.6 in PDF
- Download Miscellaneous Exercise 9
- NCERT Book Chapter 9
- NCERT Book Answers
- Revision Book Chapter 9
- Revision Book Answers
- Download Assignment 1
- Download Assignment 2
- Download Assignment 2 Answers
- Download Assignment 3
- Download Assignment 4
- Visit to 12th Maths Main Page

#### 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 the differential equation.

3. Degree of Differential equation: If the differential equations 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.

##### 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.