Mining Engineering
GATE MN Differential Equations PYQs
Build your understanding with focused practice from past exam papers.
How to practice Differential Equations
Attempt a question, record the concept and assumptions, then check the available answer. Rework mistakes after revising the relevant concepts. Topic tags can overlap; review the question context.
Questions 1–7 of 7. Imported answers require independent review unless marked reviewed.
Question 13
Open questionMNMCQ1 markNeeds review
Which one of the following is a non-linear, second-order, and first-degree differential equation?
Your answerChoose one option.
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Open questionMNNAT2 marksNeeds review
Let
, where
and
are temperatures in degree centigrade of a room and a thermometer, respectively, and
denotes time in minutes. A thermometer at a reading of 2°C is brought in a room of temperature 40°C. Two minutes later, the thermometer reads 15°C. The time elapsed in minutes when the thermometer reads 39.5°C, is ______. (round off to two decimal places)Log in to check the answer
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Open questionMNNAT2 marksNeeds review
Assume that COVID-19 growth rate of number of infections per day (c) in a certain population is represented by the following differential equation.
Here, t stands for time in days. Time taken for the number of infections per day to double, in days, is ______. [round off to the nearest integer]
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Open questionMNMCQ2 marksNeeds review
For the differential equation
, assuming the constant of integration to be
, the general solution isYour answerChoose one option.
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Open questionMNNAT2 marksNeeds review
A particle starting from rest moves in a straight line such that after time
(seconds), the acceleration becomes
cm/s
. When the acceleration becomes zero, the velocity of the particle in cm/s is ________ (round off to 1 decimal place).Log in to check the answer
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Open questionMNNAT1 markNeeds review
The degree of the differential equation
is ______________.Log in to check the answer
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Open questionMNMCQ2 marksNeeds review
If
is a constant, the solution of the differential equation
isYour answerChoose one option.
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