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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

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

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. Sort by year, question coverage or name.

PaperYear / sessionQuestions in this viewOpen
Mining Engineering (MN) 202620261View paper
Naval Architecture and Marine Engineering (NM) 202620261View paper
Naval Architecture & Marine Engineering (NM) 202520252View paper
Naval Architecture & Marine Engineering (NM) 202220221View paper

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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