Chapter test · Mathematics · Class 12

Differential Equations

This test asks up to 25 questions on the real pattern and marking, and hands you a concept-by-concept report the moment you finish. It covers 3 key concepts: Order, degree and formation, Variable-separable and homogeneous equations and Linear first-order equations.

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Questions

Up to 25 — 20 MCQ + 5 numerical

Time

60 minutes, fixed

Marking

JEE Main: +4 / −1 on A, +4 / 0 on B

Class

Class 12 · Mathematics

Report

Concept breakdown + cognitive demand, instantly

What this test covers

3 key concepts, tested the way the exam tests them.

Mapped from EduPeak’s learning framework for this chapter — the same map your report scores you against.

1
Order, degree and formation
- Determines order/degree and forms differential equations from families of curves.Recall & understanding
2
Variable-separable and homogeneous equations
- Solves separable and homogeneous first-order differential equations.Apply & Analyse
3
Linear first-order equations
- Solves linear DEs using the integrating factor and applies DEs to growth/decay setups.Apply & Analyse

Level of thinking demanded3 learning objectives

Recall & understandingApply & AnalyseHigher-order

This chapter is tested mostly at the Apply & Analyse level.

In your board

Where this chapter sits in your syllabus.

The same EduPeak test, found under your own textbook’s chapter name.

CBSE
Differential Equations
✓ in your syllabus
Gujarat (GSEB)
Differential Equations
✓ in your syllabus
Madhya Pradesh (MPBSE)
Differential Equations
✓ in your syllabus
Rajasthan (RBSE)
Differential Equations
✓ in your syllabus
Bihar (BSEB)
Unit-III Calculus — Differential Equations
✓ in your syllabus
Uttar Pradesh (UPMSP)
कलन - समाकलनों के अनुप्रयोग तथा अवकल समीकरण / Applications of Integrals and Differential Equations
✓ in your syllabus
ISC (CISCE)
Calculus - Differential Equations
✓ in your syllabus
Cambridge International A Level
Differential equations (P3)
✓ in your syllabus
IB Diploma Programme (HL)
AHL 5.18 First order differential equations (Topic 5: Calculus)
✓ in your syllabus

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Try one

A sample question from this chapter.

Drawn fresh from the chapter’s bank on every visit. Reveal the worked solution when you are ready — the way your report explains every question.

SampleMathematics· MCQ+4 / -1

Let

y = y (x)

be the solution of the differential equation

x lo g_{e} x \frac{d y}{d x} + y = x^{2} lo g_{e} x

(x > 1)

. If

y (2) = 2

, then

y (e)

is equal to

A. $\frac{1 + e ^{2}}{2}$
B. $\frac{1 + e ^{2}}{4}$
C. $\frac{4 + e ^{2}}{4}$
D. $\frac{2 + e ^{2}}{2}$

Worked, step by step — the way your report explains every question. Loads on request.

In the real test, every question is fresh from the chapter’s bank — and your report shows the worked solution for each one.

Keep climbing

Related Class 12 Mathematics chapters

Sets, Relations and Functions Matrices and Determinants Limits, Continuity and Differentiability Integral Calculus Three Dimensional Geometry Vector Algebra

Good to know

About this chapter test

How is the test scored?

Exactly like JEE Main: +4 for a correct answer, −1 for a wrong MCQ, and no negative marking on numericals. Your total, pacing and concept-by-concept accuracy appear in your report the moment you submit.

Which class is Differential Equations in?

Differential Equations sits in Class 12 Mathematics here. Pick your class when you start — the whole chapter list is organised the same way.

Can I take it more than once?

Yes — each attempt draws from the chapter’s bank, and your report tracks your best and your progress across attempts.

Is it free?

Free chapter tests are included with every account, and each one comes with the complete report. No card needed to start.

25 questions. 60 minutes. One honest answer.

Find out exactly where you stand on this chapter — today.

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