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Previous year question hub

Differential Equations - General Aptitude - General Aptitude (GA) Previous Year Questions

Practice Differential Equations - General Aptitude - General Aptitude (GA) previous year questions organised from real papers, with year-wise coverage and clear topic navigation.

2Papers
2Years
4Questions
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 2 50%
Medium 2 50%

Question type distribution

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

MCQ 3 75%
Numerical Answer Type (NAT) 1 25%

Subject weightage

Top subjects by unique question coverage.

General Aptitude (GA)
4 Qs

Most asked topics

Top topics across the included previous year papers.

General Aptitude
4 Qs

Subtopic coverage

Top subtopics inside this exact selection.

Differential Equations
4 Qs

Paper coverage

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

Instrumentation Engineering (IN) 2015
1 Qs
Instrumentation Engineering (IN) 2012
3 Qs

Included previous year papers

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

PaperYear / sessionQuestions in this viewOpen
Instrumentation Engineering (IN) 201520151View paper
Instrumentation Engineering (IN) 201220123View paper

All Differential Equations previous year questions

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

1
2012 · General Aptitude (GA) · General Aptitude · Differential Equations
Instrumentation Engineering (IN) 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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2
2012 · General Aptitude (GA) · General Aptitude · Differential Equations
Instrumentation Engineering (IN) 2012
The unilateral Laplace transform of \(f(t)\) is \(\frac{1}{s^2+s+1}\). The unilateral Laplace transform of \(t f(t)\) is
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3
2012 · General Aptitude (GA) · General Aptitude · Differential Equations
Instrumentation Engineering (IN) 2012
Consider the differential equation \( \frac{d^2y(t)}{dt^2} + 2\frac{dy(t)}{dt} + y(t) = \delta(t) \) with \( y(t)|_{t=0^-} = -2 \) and \( \left.\frac{dy}{dt}\right|_{t=0^-} = 0 \). The numerical value of \( \left.\frac{dy}{dt}\right|_{t=0^+} \) is
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4
2015 · General Aptitude (GA) · General Aptitude · Differential Equations
Instrumentation Engineering (IN) 2015
A system with transfer function \(G(s) = \frac{1}{s^2+1}\) has zero initial conditions. The percentage overshoot in its step response is ______ %.
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