My Cart
Your Cart 0

    Your cart is empty.

  • Total (Amount) ₹0.00
Previous year question hub

Ordinary Differential Equation (ODE) - Engineering Mathematics - Civil Engineering Previous Year Questions

Practice Ordinary Differential Equation (ODE) - Engineering Mathematics - Civil Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

20Papers
17Years
26Questions
1Topics

Ordinary Differential Equation (ODE) question pattern

Every graph below is calculated only from this selection.

Questions by year

Compare question counts across years.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 24 92.3%
Medium 2 7.7%

Question type distribution

MCQ, numerical, multiple-select and other formats found in these papers.

MCQ 22 84.6%
Numerical Answer Type (NAT) 4 15.4%

Subject weightage

Top subjects by unique question coverage.

Civil Engineering
26 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
26 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Ordinary Differential Equation (ODE)
26 Qs

Paper coverage

Question coverage for the most populated papers. Every active PYP paper remains listed below.

Civil Engineering (CE) 2026
1 Qs
Civil Engineering (CE) 2026
1 Qs
Civil Engineering (CE) 2025 [Session 2]
2 Qs
Civil Engineering (CE) 2025 [Session 1]
1 Qs
Civil Engineering (CE) 2024 [Session 1]
1 Qs
Civil Engineering (CE) 2024 [Session 2]
1 Qs
Civil Engineering (CE) 2023 [Session 2]
1 Qs
Civil Engineering (CE) 2021 [Session 2]
1 Qs
Civil Engineering (CE) 2020 [Session 2]
2 Qs
Civil Engineering (CE) 2019 [Session 2]
1 Qs
Civil Engineering (CE) 2018 [Session 2]
1 Qs
Civil Engineering (CE) 2017 [Session 2]
1 Qs
Civil Engineering (CE) 2016 [Session 1]
1 Qs
Civil Engineering (CE) 2014 [Session 2]
1 Qs
Civil Engineering (CE) 2012
1 Qs
Civil Engineering (CE) 2011
1 Qs
Civil Engineering (CE) 2010
2 Qs
Civil Engineering (CE) 2009
1 Qs
Civil Engineering (CE) 2008
2 Qs
Civil Engineering (CE) 2007
3 Qs

Included previous year papers

Newest papers appear first. Search these papers or sort by year and name.

Paper nameYearPDFAttempt
Civil Engineering (CE) 20262026
1 questions in this view		2026
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20262026
1 questions in this view		2026
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2025 [Session 1]2025
1 questions in this view		2025
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2025 [Session 2]2025
2 questions in this view		2025
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2024 [Session 1]2024
1 questions in this view		2024
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2024 [Session 2]2024
1 questions in this view		2024
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2023 [Session 2]2023
1 questions in this view		2023
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2021 [Session 2]2021
1 questions in this view		2021
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2020 [Session 2]2020
2 questions in this view		2020
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2019 [Session 2]2019
1 questions in this view		2019
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2018 [Session 2]2018
1 questions in this view		2018
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2017 [Session 2]2017
1 questions in this view		2017
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2016 [Session 1]2016
1 questions in this view		2016
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 2014 [Session 2]2014
1 questions in this view		2014
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20122012
1 questions in this view		2012
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20112011
1 questions in this view		2011
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20102010
2 questions in this view		2010
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20092009
1 questions in this view		2009
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20082008
2 questions in this view		2008
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download
Civil Engineering (CE) 20072007
3 questions in this view		2007
ExamElite PDFs
ExamElite solutions
Official documents
Official question paperOriginal authority-issued PDF Official Download

All Ordinary Differential Equation (ODE) previous year questions

Practice every matching question in batches of 20, with every available option.

1
2007 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2007
The degree of the differential equation \[\frac{d^3 x}{dt^3} + 2x^3 = 0\] is
Open complete paper
2
2007 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2007
The solution for the differential equation \[\frac{dy}{dx} = x^2 y\] with the condition that y=1 at x = 0 is
Open complete paper
3
2007 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2007
A body originally at 60°C cools down to 40°C in 15 minutes when kept in air at a temperature of 25°C. What will be the temperature of the body at the end of 30 minutes?
Open complete paper
4
2014 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2014 [Session 2]
The integrating factor for the differential equation \( \frac{dP}{dt} + k_2 P = k_1 L_0 e^{-k_1 t} \) is
Open complete paper
5
2016 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2016 [Session 1]
The respective expressions for complimentary function and particular integral part of the solution of the differential equation \(\frac{d^4 y}{dx^4} + 3\frac{d^2 y}{dx^2} = 100x^2\) are
Open complete paper
6
2017 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2017 [Session 2]
Consider the following second-order differential equation: \( y'' - 4y' + 3y = 2t - 3t^2 \). The particular solution of the differential equation is
Open complete paper
7
2018 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2018 [Session 2]
The solution of the equation \(x \frac{dy}{dx} + y = 0\) passing through the point (1,1) is
Open complete paper
8
2019 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2019 [Session 2]
An ordinary differential equation is given below: \[\left(\frac{dy}{dx}\right)(x\ln x) = y\] The solution for the above equation is (Note: K denotes a constant in the options)
Open complete paper
9
2020 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2020 [Session 2]
The ordinary differential equation \( \frac{d^2u}{dx^2} - 2x^2u + \sin x = 0 \) is
Open complete paper
10
2020 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2020 [Session 2]
An ordinary differential equation is given below:
\( 6\frac{d^2 y}{dx^2} + \frac{dy}{dx} - y = 0 \)
The general solution of the above equation (with constants \( C_1 \) and \( C_2 \)), is
Open complete paper
11
2021 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2021 [Session 2]
If k is a constant, the general solution of \(\frac{dy}{dx} - \frac{y}{x} = 1\) will be in the form of
Open complete paper
12
2023 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2023 [Session 2]
The solution of the differential equation
\[ \frac{d^3 y}{dx^3} - 5.5 \frac{d^2 y}{dx^2} + 9.5 \frac{dy}{dx} - 5 y = 0 \]
is expressed as \( y = C_1 e^{2.5 x} + C_2 e^{\alpha x} + C_3 e^{\beta x} \), where \( C_1, C_2, C_3, \alpha, \text{ and } \beta \) are constants, with \( \alpha \) and \( \beta \) being distinct and not equal to 2.5. Which of the following options is correct for the values of \( \alpha \) and \( \beta \)?
Open complete paper
13
2024 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2024 [Session 1]
A 2 m × 2 m tank of 3 m height has inflow, outflow and stirring mechanisms. Initially, the tank was half-filled with fresh water. At \(t = 0\), an inflow of a salt solution of concentration 5 g/m³ at the rate of 2 litre/s and an outflow of the well stirred mixture at the rate of 1 litre/s are initiated. This process can be modelled using the following differential equation: \[ \frac{dm}{dt} + \frac{m}{6000 + t} = 0.01 \] where \(m\) is the mass (grams) of the salt at time \(t\) (seconds). The mass of the salt (in grams) in the tank at 75% of its capacity is __________ (rounded off to 2 decimal places).
Open complete paper
14
2024 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2024 [Session 2]
Consider two Ordinary Differential Equations (ODEs):
P: \( \frac{dy}{dx} = \frac{x^4 + 3x^2y^2 + 2y^4}{x^3y} \)
Q: \( \frac{dy}{dx} = \frac{-y^2}{x^2} \)
Which one of the following options is CORRECT?
Open complete paper
15
2025 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2025 [Session 1]

Let y be the solution of the initial value problem y'' + 0.8y' + 0.16y = 0, where y(0) = 3 and y'(0) = 4.5. Then, y(1) is equal to ______ (rounded off to 1 decimal place).

Open complete paper
16
2025 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2025 [Session 2]
The “order” of the following ordinary differential equation is ______. \[ \frac{d^3y}{dx^3} + \left(\frac{d^2y}{dx^2}\right)^6 + \left(\frac{dy}{dx}\right)^4 + y = 0 \]
Open complete paper
17
2025 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2025 [Session 2]
Pick the CORRECT solution for the following differential equation
\[ \frac{dy}{dx} = e^{x-y} \]
Open complete paper
18
2008 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2008
The general solution of \( \frac{d^2 y}{dx^2} + y = 0 \) is
Open complete paper
19
2008 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2008
Solution of \( \frac{dy}{dx} = - \frac{x}{y} \) at x = 1 and y = \( \sqrt{3} \) is
Open complete paper
20
2009 · Civil Engineering · Engineering Mathematics · Ordinary Differential Equation (ODE)
Civil Engineering (CE) 2009
Solution of the differential equation 3y\frac{dy}{dx} + 2x = 0 represents a family of
Open complete paper

Showing 20 of 26 questions