NCERT Class 12 Mathematics Chapter 9: Differential Equations MCQs & PYQs

In NCERT Class 12 Mathematics Chapter 9, titled Differential Equations, students learn the basics of differential equations, including their formation, types, and solutions. This chapter covers important techniques such as variable separable method, homogeneous and linear differential equations, and solutions of differential equations by integration. Students also explore applications of differential equations in modeling real-life phenomena such as population growth, decay, and other dynamic systems.

This article is a comprehensive resource for mastering Differential Equations. It includes sample MCQs and subjective questions for CBSE and CUET, along with downloadable PDFs of Class 12 Mathematics Chapter 9 MCQs and previous year questions for detailed practice.

NCERT Class 12 Mathematics Chapters
Chapter 1: Relations and Functions	Chapter 2: Inverse Trigonometric Functions
Chapter 3: Matrices	Chapter 4: Determinants
Chapter 5: Continuity and Differentiability	Chapter 6: Application of Derivatives
Chapter 7: Integrals	Chapter 8: Application of Integrals
Chapter 10: Vector Algebra	Chapter 11: Three Dimensional Geometry
Chapter 12: Linear Programming	Chapter 13: Probability

Class 12 Mathematics Chapter 9 MCQs

This section includes CUET and CBSE MCQs, along with questions curated by subject experts. Below are 5 sample MCQs for Class 12 Mathematics Chapter 9: Differential Equations. For the full set of 50 MCQs, download the PDF using the link below.

1.	The order and degree of the differential equation is: (a) 2, 1 (b) 2, 2 (c) 1, 2 (d) 1, 1
2.	The differential equation y = xp+ where p = is: A. of order 1 B. of degree 1 C. of order 2 D. of degree 3 Choose the correct answer from the options given below: (a) A and B only (b) A and D only (c) B and C only (d) C and D only
3.	The sum of the order and degree of the differential equation is: (a) 3 (b) 4 (c) 5 (d) 6
4.	The degree of the differential equation is: (a) 1 (b) 3 (c) 2 (d) 4
5.	The degree of the differential equation is: (a) 1 (b) 3 (c) 2 (d) 4

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Class 12 Mathematics Chapter 9 Subjective Questions Without Solutions

This section includes previous years' CBSE subjective questions (2 marks and above) and expert-curated questions. Below are 5 sample subjective questions for Class 12 Mathematics Chapter 9: Differential Equations. To access the full set of subjective questions, download the PDF using the link below.

1.	Find the sum of the order and the degree of the differential equation : (CBSE 2022, 2M)
2.	Find the product of the order and the degree of the differential equation . (CBSE 2022, 2M)
3.	Find the value of (2a – 3b), if a and b represent respectively the order and the degree of the differential equation. (CBSE 2022, 2M)
4.	Solve the differential equation: log= x - y. (CBSE 2022, 2M)
5.	Find the particular solution of the differential equation = 2y², given y = 1 when x = 1. (CBSE 2022, 2M)

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Class 12 Mathematics Chapter 9 Sub Topics

Chapter Name	Sub Topic Name
Differential Equations	9.1 Introduction to Differential Equations
	9.2 Order and Degree of a Differential Equation
	9.3 Formation of Differential Equations
	9.4 Solution of Differential Equations by Integration
	9.5 Variable Separable Method
	9.6 Homogeneous Differential Equations
	9.7 Linear Differential Equations
	9.8 Applications of Differential Equations

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Review of NCERT Class 12 Mathematics Chapter 9

NCERT Class 12 Mathematics Chapter 9, Differential Equations, provides students with a strong foundation in solving and understanding differential equations. It covers various techniques for solving differential equations and their real-world applications, such as modeling population growth and decay. Mastering this chapter is essential for students preparing for CBSE, CUET, and other competitive exams, as it builds the groundwork for advanced studies in mathematics, physics, and engineering.

By practicing the provided MCQs and subjective questions, students can strengthen their understanding and gain confidence in tackling this chapter in exams.

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