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Differential Equations - Engineering Mathematics - Electronics & Communication Engineering Previous Year Questions

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

20Papers

17Years

29Questions

1Topics

Differential Equations 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.

29questions

Easy 21 72.4%

Medium 8 27.6%

Question type distribution

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

29questions

MCQ 21 72.4%

Numerical Answer Type (NAT) 6 20.7%

MSQ 2 6.9%

Subject weightage

Top subjects by unique question coverage.

Electronics & Communication Engineering

29 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics

29 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Differential Equations

29 Qs

Paper coverage

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

Electronics and Communication Engineering (EC) 2026

1 Qs

Electronics & Communication Engineering (EC) 2025

1 Qs

Electronics & Communication Engineering (EC) 2024

1 Qs

Electronics & Communication Engineering (EC) 2022

2 Qs

Electronics & Communication Engineering (EC) 2021

1 Qs

Electronics & Communication Engineering (EC) 2020

3 Qs

Electronics & Communication Engineering (EC) 2019

2 Qs

Electronics & Communication Engineering (EC) 2018

2 Qs

Electronics & Communication Engineering (EC) 2017

1 Qs

Electronics & Communication Engineering (EC) 2017 [Session 1]

1 Qs

Electronics & Communication Engineering (EC) 2017 [Session 2]

1 Qs

Electronics & Communication Engineering (EC) 2016 [Session 3]

2 Qs

Electronics & Communication Engineering (EC) 2016 [Session 2]

1 Qs

Electronics & Communication Engineering (EC) 2014 [Session 4]

2 Qs

Electronics & Communication Engineering (EC) 2012

1 Qs

Electronics & Communication Engineering (EC) 2011

1 Qs

Electronics & Communication Engineering (EC) 2010

2 Qs

Electronics & Communication Engineering (EC) 2009

2 Qs

Electronics & Communication Engineering (EC) 2008

1 Qs

Electronics & Communication Engineering (EC) 2007

1 Qs

Included previous year papers

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

Paper name	Year	PDF
Electronics and Communication Engineering (EC) 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
Electronics & Communication Engineering (EC) 20252025 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
Electronics & Communication Engineering (EC) 20242024 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
Electronics & Communication Engineering (EC) 20222022 2 questions in this view	2022	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download Official answer keyOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20212021 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
Electronics & Communication Engineering (EC) 20202020 3 questions in this view	2020	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20192019 2 questions in this view	2019	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20182018 2 questions in this view	2018	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20172017 1 questions in this view	2017	ExamElite PDFs ExamElite solutions
Electronics & Communication Engineering (EC) 2017 [Session 1]2017 1 questions in this view	2017	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2017 [Session 2]2017 1 questions in this view	2017	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2016 [Session 2]2016 1 questions in this view	2016	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2016 [Session 3]2016 2 questions in this view	2016	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 2014 [Session 4]2014 2 questions in this view	2014	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20122012 1 questions in this view	2012	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20112011 1 questions in this view	2011	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20102010 2 questions in this view	2010	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20092009 2 questions in this view	2009	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20082008 1 questions in this view	2008	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download
Electronics & Communication Engineering (EC) 20072007 1 questions in this view	2007	ExamElite PDFs ExamElite solutions Official documents Official question paperOriginal authority-issued PDF Official Download

All Differential Equations previous year questions

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2007 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2007

The solution of the differential equation k² \frac{d²y}{dx²} = y - y₂ under the boundary conditions (i) y = y₁ at x = 0 and (ii) y = y₂ at x = ∞, where k, y₁ and y₂ are constants, is

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2008 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2008

Which of the following is a solution to the differential equation \(\frac{dx(t)}{dt} + 3x(t) = 0\) ?

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2009 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2009

The order of the differential equation \(\frac{d^2y}{dt^2} + \left(\frac{dy}{dt}\right)^3 + y^4 = e^{-t}\) is

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2009 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2009

Match each differential equation in Group I to its family of solution curves from Group II.\nGroup I: P. \(\frac{dy}{dx} = \frac{y}{x}\) Q. \(\frac{dy}{dx} = -\frac{y}{x}\) R. \(\frac{dy}{dx} = \frac{x}{y}\) S. \(\frac{dy}{dx} = -\frac{x}{y}\)\nGroup II: 1. Circles 2. Straight lines 3. Hyperbolas

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2010 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2010

A function n(x) satisfies the differential equation \(\frac{d^2n(x)}{dx^2} - \frac{n(x)}{L^2} = 0\) where L is a constant. The boundary conditions are: n(0)=K and n(∞)=0. The solution to this equation is

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2010 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2010

Consider a differential equation \(\frac{dy(x)}{dx} - y(x) = x\) with the initial condition y(0) = 0. Using Euler's first order method with a step size of 0.1, the value of y(0.3) is

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2011 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2011

The solution of the differential equation \(\frac{dy}{dx} = ky\), \(y(0) = c\) is

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2012 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2012

With initial condition \(x(1) = 0.5\), the solution of the differential equation, \(t rac{dx}{dt} + x = t\) is

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2014 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2014 [Session 4]

With initial values y(0) = y'(0) = 1, the solution of the differential equation \[ \frac{d^2y}{dx^2} + 4\frac{dy}{dx} + 4y = 0 \] at x = 1 is _____.

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2014 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2014 [Session 4]

If a and b are constants, the most general solution of the differential equation \(\frac{d^2x}{dt^2} + 2\frac{dx}{dt} + x = 0\) is

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2016 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2016 [Session 2]

The ordinary differential equation \( \frac{dx}{dt} = -3x + 2 \), with \( x(0) = 1 \) is to be solved using the forward Euler method. The largest time step that can be used to solve the equation without making the numerical solution unstable is ______

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2016 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2016 [Session 3]

The particular solution of the initial value problem given below is
\(\frac{d^2 y}{d x^2}+12 \frac{d y}{d x}+36 y=0\) with \(y(0)=3\) and \(\left.\frac{d y}{d x}\right|_{x=0}=-36\)

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2016 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2016 [Session 3]

Consider the first order initial value problem \[ y' = y + 2x - x^2, \quad y(0) = 1, \quad (0 \leq x < \infty) \] with exact solution \( y(x) = x^2 + e^x \). For x = 0.1, the percentage difference between the exact solution and the solution obtained using a single iteration of the second-order Runge-Kutta method with step-size h = 0.1 is __________

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2017 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2017

The general solution of the differential equation a2d2y/dx2 + 2dy/dx - 5y = 0 in terms of arbitrary constants K1 and K2 is

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2018 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2018

A curve passes through the point \((x = 1, y = 0)\) and satisfies the differential equation \(\frac{dy}{dx} = \frac{x^2 + y^2}{2y} + \frac{y}{x}\). The equation that describes the curve is

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2018 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2018

The position of a particle y(t) is described by the differential equation:
\[ \frac{d^2 y}{dt^2} = -\frac{dy}{dt} - \frac{5y}{4}. \]
The initial conditions are y(0) = 1 and \[ \frac{dy}{dt}\bigg|_{t=0} = 0 \]. The position (accurate to two decimal places) of the particle at t = π is ______.

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2019 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2019

The families of curves represented by the solution of the equation \[\frac{dy}{dx} = -\left(\frac{x}{y}\right)^n\] for \(n = -1\) and \(n = +1\), respectively, are

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2019 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2019

Consider the homogeneous ordinary differential equation \( x^2 \frac{d^2 y}{dx^2} - 3x \frac{dy}{dx} + 3y = 0, \quad x > 0 \) with y(x) as a general solution. Given that y(1) = 1 and y(2) = 14 the value of y(1.5), rounded off to two decimal places, is ___________.

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2020 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2020

Which one of the following options contains two solutions of the differential equation \( \frac{dy}{dx} = (y-1)x \)?

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2020 · Electronics & Communication Engineering · Engineering Mathematics · Differential Equations

Electronics & Communication Engineering (EC) 2020

Which one of the following options contains two solutions of the differential equation \[ \frac{dy}{dx} = (y-1)x ? \]

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Differential Equations - Engineering Mathematics - Electronics & Communication Engineering Previous Year Questions

Differential Equations question pattern

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Differential Equations - Engineering Mathematics - Electronics & Communication Engineering Previous Year Questions

Differential Equations question pattern

Questions by year

Subject weightage

Most asked topics

Subtopic coverage

Paper coverage

Included previous year papers