Differential Equations CBSE Class 12 PYQ Chapter Wise

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Answer first

Differential Equations PYQs (previous year questions) for CBSE Class 12: Differential Equations (Mathematics) had 24 questions across the 50 official CBSE Class 12 papers we tagged (2016–2026), and appeared in 10 of them. Asked in 10 of 10 years. The concepts asked in the most papers: Linear Differential Equations, Homogeneous Differential Equations, Order and Degree.

Year-wise question count

Asked in 10 of 10 years.

Most-asked concepts

Sorted by the number of papers a concept appeared in.

How to practise Differential Equations PYQs

1. Start with the concepts at the top of the table. They have come back the most.
2. Solve one year’s Differential Equations questions from the official PDF against the clock, then check the answer listed below.
3. Log every miss as a concept gap, a calculation slip or a misread. Each needs a different fix.
4. Once a concept is clean in two papers, move to the next. Then sit a full paper from the year pages.

Questions by year

Each line gives the question number and paper, type, concept, our one-line summary, with a link to the official PDF.

CBSE Class 122026

• Q.11 (Mathematics (65/1/1)) · MCQ · Linear Differential Equations: Integrating factor of R dx/dy + Px = Q in y PDF
• Q.12 (Mathematics (65/1/1)) · MCQ · Order and Degree: Order and degree of d/dx(e^y) = 0 PDF
• Q.29 (Mathematics (65/1/1)) · Short answer · Homogeneous Differential Equations: General solution of x^2 dy/dx = x^2 + xy + y^2 PDF

CBSE Class 122025

• Q.4 (Mathematics (65/1/1)) · MCQ · Homogeneous Differential Equations: Identify the function that is not homogeneous in x and y PDF
• Q.12 (Mathematics (65/1/1)) · MCQ · Linear Differential Equations: Integrating factor of (x + 2y^3) dy/dx = 2y PDF

CBSE Class 122024

• Q.8 (Mathematics (65/1/1)) · MCQ · Linear Differential Equations: Integrating factor of (1 - x^2)dy/dx + xy = ax PDF
• Q.14 (Mathematics (65/1/1)) · MCQ · Order and Degree: Order and degree of a given differential equation PDF
• Q.29 (Mathematics (65/1/1)) · Short answer · Homogeneous Differential Equations: Particular solution of x^2 dy/dx - xy = x^2 cos^2(y/2x) PDF

CBSE Class 122023

• Q.7 (Mathematics (65/1/1)) · MCQ · Order and Degree: Sum of order and degree of a given second-order DE PDF
• Q.15 (Mathematics (65/1/1)) · MCQ · Variable Separable: General solution of x dy - (1 + x^2) dx = dx PDF
• Q.28 (Mathematics (65/1/1)) · Short answer · Linear Differential Equations: Particular solution of dy/dx + y sec^2 x = tan x sec^2 x PDF

CBSE Class 122022

• Q.1 (Mathematics Term 2 (65/1/1)) · Short answer I · Order and Degree: Sum of order and degree of a given differential equation PDF
• Q.10 (Mathematics Term 2 (65/1/1)) · Short answer II · Homogeneous Differential Equations: Particular solution of x dy/dx + x cos^2(y/x) = y PDF

CBSE Class 122020

• Q.6 (Mathematics (65/1/1)) · MCQ · General and Particular Solutions: Number of arbitrary constants in particular solution of 2nd-order DE PDF
• Q.30 (Mathematics (65/1/1)) · Long answer I · Linear Differential Equations: General solution of y e^y dx = (y^3 + 2x e^y) dy PDF

CBSE Class 122019

• Q.3 (Mathematics (65/1/1)) · Very short answer · Order and Degree: Order and degree of a given second-order differential equation PDF
• Q.9 (Mathematics (65/1/1)) · Short answer · Formation of Differential Equations: DE for the family y = e^(2x)(a + bx) PDF
• Q.21 (Mathematics (65/1/1)) · Long answer I · Homogeneous Differential Equations: Solve x dy - y dx = sqrt(x^2 + y^2) dx with y(1) = 0 PDF

CBSE Class 122018

• Q.10 (Mathematics (65/1)) · Short answer · Formation of Differential Equations: DE for the family y = a e^(bx+5) PDF
• Q.19 (Mathematics (65/1)) · Long answer I · Variable Separable: Particular solution of e^x tan y dx + (2 - e^x)sec^2 y dy = 0 PDF

CBSE Class 122017

• Q.18 (Mathematics (65/1)) · Long answer I · Linear Differential Equations: Solve (tan^-1 x - y)dx = (1+x^2)dy PDF
• Q.28 (Mathematics (65/1)) · Long answer II · Homogeneous Differential Equations: Particular solution of (x-y)dy/dx = x+2y PDF

CBSE Class 122016

• Q.15 (Mathematics (65/1/N)) · Long answer I · Linear Differential Equations: Particular solution of a linear DE with cos x and 1+sin x PDF
• Q.16 (Mathematics (65/1/N)) · Long answer I · Homogeneous Differential Equations: Particular solution of a DE with e^(x/y) terms PDF

Other Mathematics chapters

• Relations and Functions PYQs
• Inverse Trigonometric Functions PYQs
• Matrices PYQs
• Determinants PYQs
• Continuity and Differentiability PYQs
• Application of Derivatives PYQs
• Integrals PYQs
• Application of Integrals PYQs
• Vector Algebra PYQs
• Three Dimensional Geometry PYQs
• Linear Programming PYQs
• Probability PYQs

FAQ

How many Differential Equations questions come in CBSE Class 12?

In the official papers we tagged: 3 in 2026, 2 in 2025, 3 in 2024, 3 in 2023, 2 in 2022, 2 in 2020, 3 in 2019, 2 in 2018, 2 in 2017 and 2 in 2016. That is 24 questions in all, about 8% of Mathematics.

Which Differential Equations topics repeat in CBSE Class 12?

Asked in the most papers: Linear Differential Equations, Homogeneous Differential Equations, Order and Degree. The concept table lists every one with its count.

Are these official CBSE Class 12 questions?

Yes. Every question is from an official CBSE Class 12 paper hosted on our year pages. The one-line summaries are ours; open the PDF linked beside each question for the full text.