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Previous year question hub

Differential Equations and Transforms - Engineering Mathematics - Naval Architecture & Marine Engineering Previous Year Questions

Practice Differential Equations and Transforms - Engineering Mathematics - Naval Architecture & Marine Engineering previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

4Papers
3Years
5Questions
1Topics

Differential Equations and Transforms 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 4 80%
Medium 1 20%

Question type distribution

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

MCQ 3 60%
Numerical Answer Type (NAT) 1 20%
MSQ 1 20%

Subject weightage

Top subjects by unique question coverage.

Naval Architecture & Marine Engineering
5 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
5 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Differential Equations and Transforms
5 Qs

Paper coverage

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

Mining Engineering (MN) 2026
1 Qs
Naval Architecture and Marine Engineering (NM) 2026
1 Qs
Naval Architecture & Marine Engineering (NM) 2025
2 Qs
Naval Architecture & Marine Engineering (NM) 2022
1 Qs

Included previous year papers

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

Paper nameYearPDFAttempt
Mining Engineering (MN) 20262026
1 questions in this view
2026
Naval Architecture and Marine Engineering (NM) 20262026
1 questions in this view
2026
Naval Architecture & Marine Engineering (NM) 20252025
2 questions in this view
2025
Naval Architecture & Marine Engineering (NM) 20222022
1 questions in this view
2022

All Differential Equations and Transforms previous year questions

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

1
2022 · Naval Architecture & Marine Engineering · Engineering Mathematics · Differential Equations and Transforms
Naval Architecture & Marine Engineering (NM) 2022
Let \(y(x)\) be the solution of the differential equation
\(y'' - 4y' - 12y = 3e^{5x}\)
satisfying \(y(0) = \frac{18}{7}\) and \(y'(0) = -\frac{1}{7}\).
Then \(y(1)\) is ______ (rounded off to nearest integer).
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2
2025 · Naval Architecture & Marine Engineering · Engineering Mathematics · Differential Equations and Transforms
Naval Architecture & Marine Engineering (NM) 2025
For all real values of \(x\) and \(y\), the partial differential equation in terms of \(\psi(x, y)\) given by \(\frac{\partial^2 \psi}{\partial x^2} + 2 \frac{\partial^2 \psi}{\partial x \partial y} - 3 \frac{\partial^2 \psi}{\partial y^2} = 0\) is ______.
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3
2025 · Naval Architecture & Marine Engineering · Engineering Mathematics · Differential Equations and Transforms
Naval Architecture & Marine Engineering (NM) 2025
Consider \( f(t) = \cos(at) \), where \( a \) is a real constant. The Laplace transform of \( f(t) \) is ________.
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4
2026 · Naval Architecture & Marine Engineering · Engineering Mathematics · Differential Equations and Transforms
Mining Engineering (MN) 2026
Which one of the following is a non-linear, second-order, and first-degree differential equation?
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5
2026 · Naval Architecture & Marine Engineering · Engineering Mathematics · Differential Equations and Transforms
Naval Architecture and Marine Engineering (NM) 2026

Which of the following ordinary differential equations is/are linear?

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