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Previous year question hub

Differential Equations - Engineering Mathematics - Electrical Engineering Previous Year Questions

Practice Differential Equations - Engineering Mathematics - Electrical Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

12Papers
10Years
12Questions
1Topics

Differential Equations question pattern

Every graph below is calculated only from this selection.

Questions by year

Year-wise coverage for Differential Equations. Each bar uses a separate theme-derived color.

Difficulty distribution

How the classified questions are distributed by difficulty.

Easy 11 91.7%
Medium 1 8.3%

Question type distribution

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

MCQ 8 66.7%
Numerical Answer Type (NAT) 3 25%
MSQ 1 8.3%

Subject weightage

Top subjects by unique question coverage.

Electrical Engineering
12 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
12 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Differential Equations
12 Qs

Paper coverage

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

Electrical Engineering (EE) 2024
1 Qs
Electrical Engineering (EE) 2023
1 Qs
Electrical Engineering (EE) 2020
1 Qs
Electrical Engineering (EE) 2017 [Session 1]
1 Qs
Electrical Engineering (EE) 2016 [Session 1]
1 Qs
Electrical Engineering (EE) 2016 [Session 2]
1 Qs
Electrical Engineering (EE) 2014 [Session 1]
1 Qs
Electrical Engineering (EE) 2014 [Session 2]
1 Qs
Electrical Engineering (EE) 2012
1 Qs
Electrical Engineering (EE) 2011
1 Qs
Electrical Engineering (EE) 2010
1 Qs
Electrical Engineering (EE) 2007
1 Qs

Included previous year papers

Newest papers appear first. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Electrical Engineering (EE) 202420241View paper
Electrical Engineering (EE) 202320231View paper
Electrical Engineering (EE) 202020201View paper
Electrical Engineering (EE) 2017 [Session 1]20171View paper
Electrical Engineering (EE) 2016 [Session 1]20161View paper
Electrical Engineering (EE) 2016 [Session 2]20161View paper
Electrical Engineering (EE) 2014 [Session 1]20141View paper
Electrical Engineering (EE) 2014 [Session 2]20141View paper
Electrical Engineering (EE) 201220121View paper
Electrical Engineering (EE) 201120111View paper
Electrical Engineering (EE) 201020101View paper
Electrical Engineering (EE) 200720071View paper

All Differential Equations previous year questions

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

1
2007 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2007
The differential equation \(\frac{dx}{dt} = \frac{1-x}{\tau}\) is discretised using Euler's numerical integration method with a time step \(\Delta T > 0\). What is the maximum permissible value of \(\Delta T\) to ensure stability of the solution of the corresponding discrete time equation?
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2
2010 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2010
For the differential equation \frac{d^2x}{dt^2}+6\frac{dx}{dt}+8x=0 with initial conditions x(0)=1 and \frac{dx}{dt}\big|_{t=0}=0, the solution is
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3
2011 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2011
With \(K\) as a constant, the possible solution for the first order differential equation \(\frac{dy}{dx}=e^{-3x}\) is
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4
2012 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2012
With initial condition \(x(1) = 0.5\), the solution of the differential equation \(t\frac{dx}{dt} + x = t\) is
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5
2014 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2014 [Session 1]
The solution for the differential equation \[ \frac{d^2 x}{dt^2} = -9 x \] with initial conditions \( x(0) = 1 \) and \( \frac{dx}{dt} \big|_{t=0} = 1 \), is
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6
2014 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2014 [Session 2]
Consider the differential equation \( x^2 \frac{d^2y}{dx^2} + x \frac{dy}{dx} - y = 0 \). Which of the following is a solution to this differential equation for \( x > 0 \)?
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7
2016 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2016 [Session 1]
A function \(y(t)\), such that \(y(0) = 1\) and \(y(1) = 3e^{-1}\), is a solution of the differential equation \(\frac{d^2y}{dt^2} + 2\frac{dy}{dt} + y = 0\). Then \(y(2)\) is
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8
2016 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2016 [Session 2]
Let \(y(x)\) be the solution of the differential equation \(\frac{d^2 y}{dx^2} - 4\frac{dy}{dx} + 4y = 0\) with initial conditions \(y(0) = 0\) and \(\left.\frac{dy}{dx}\right|_{x=0} = 1\). Then the value of \(y(1)\) is ______.
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9
2017 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2017 [Session 1]
Consider the differential equation $(t^2-81)\frac{dy}{dt} + 5t y = \sin(t)$ with $y(1)=2\pi$. There exists a unique solution for this differential equation when $t$ belongs to the interval
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10
2020 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2020
Consider the initial value problem below. The value of \(y\) at \(x = \ln 2\), (rounded off to 3 decimal places) is __________. \[\frac{dy}{dx} = 2x - y, \quad y(0) = 1\]
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11
2023 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2023
In the following differential equation, the numerically obtained value of \(y(t)\), at \(t = 1\), is __________ (Round off to 2 decimal places).
\[\frac{dy}{dt} = \frac{e^{-\alpha t}}{2 + \alpha t}, \quad \alpha = 0.01 \text{ and } y(0) = 0\]
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12
2024 · Electrical Engineering · Engineering Mathematics · Differential Equations
Electrical Engineering (EE) 2024

Which of the following differential equations is/are nonlinear?

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