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Previous year question hub

Differential equations - Engineering Mathematics - Biomedical Engineering Previous Year Questions

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

6Papers
6Years
6Questions
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 4 66.7%
Medium 2 33.3%

Question type distribution

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

MCQ 5 83.3%
Numerical Answer Type (NAT) 1 16.7%

Subject weightage

Top subjects by unique question coverage.

Biomedical Engineering
6 Qs

Most asked topics

Top topics across the included previous year papers.

Engineering Mathematics
6 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Differential equations
6 Qs

Paper coverage

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

Biomedical Engineering (BM) 2026
1 Qs
Biomedical Engineering (BM) 2025
1 Qs
Biomedical Engineering (BM) 2024
1 Qs
Biomedical Engineering (BM) 2023
1 Qs
Biomedical Engineering (BM) 2022
1 Qs
Biomedical Engineering (BM) 2021
1 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Biomedical Engineering (BM) 202620261View paper
Biomedical Engineering (BM) 202520251View paper
Biomedical Engineering (BM) 202420241View paper
Biomedical Engineering (BM) 202320231View paper
Biomedical Engineering (BM) 202220221View paper
Biomedical Engineering (BM) 202120211View paper

All Differential equations previous year questions

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

1
2021 · Biomedical Engineering · Engineering Mathematics · Differential equations
Biomedical Engineering (BM) 2021
Consider the following first order partial differential equation, also known as the transport equation \(\frac{\partial y(x,t)}{\partial t} + 5\frac{\partial y(x,t)}{\partial x} = 0\) with initial conditions given by \(y(x,0) = \sin x, -\infty < x < \infty\). The value of \(y(x,t)\) at \(x = \pi\) and \(t = \frac{\pi}{6}\) is ______.
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2
2022 · Biomedical Engineering · Engineering Mathematics · Differential equations
Biomedical Engineering (BM) 2022
Solution of the differential equation \(\frac{dy}{dx} - y = \cos x\) is
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3
2023 · Biomedical Engineering · Engineering Mathematics · Differential equations
Biomedical Engineering (BM) 2023
The time-dependent growth of a bacterial population is governed by the equation
\(\frac{dx}{dt} = x\left(1 - \frac{x}{200}\right)\),
where \(x\) is the population size at time \(t\). The initial population size is \(x_0 = 100\) at \(t = 0\). As \(t \to \infty\), the population size of bacteria asymptotically approaches __________.
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4
2024 · Biomedical Engineering · Engineering Mathematics · Differential equations
Biomedical Engineering (BM) 2024
Consider a system of the following two partial differential equations: \[\frac{\partial \alpha}{\partial x} = -2 \frac{\partial \beta}{\partial t}\] \[\frac{\partial \beta}{\partial x} = -2 \frac{\partial \alpha}{\partial t}\] Which one of the following choices is a possible solution for the system?
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5
2025 · Biomedical Engineering · Engineering Mathematics · Differential equations
Biomedical Engineering (BM) 2025
Given a function y(x) satisfying the differential equation
\( y'' - 0.25y = 0, \)
with initial conditions y(0) = 1; y'(0) = 1, what is the value of y(\log_e 100)?
Here, y' and y'' are the first and second derivatives of y, respectively.
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6
2026 · Biomedical Engineering · Engineering Mathematics · Differential equations
Biomedical Engineering (BM) 2026
The concentration \(p\) (in \(\mu\)g/dL i.e., micrograms/deciliter) of a hormone, as a function of time \(t\) (in hours) is governed by the following differential equation for \(t \geq 0\)
\[ \frac{dp}{dt} = e^{-0.1t} - 0.1\,p \]
If \(p(0) = 20\ \mu\)g/dL, then \(p(10) =\) __________ \(\mu\)g/dL.
(Round off to one decimal place)
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