Mechanical Engineering
GATE ME Differential equations PYQs
Build your understanding with focused practice from past exam papers.
Questions 11–20 of 28. Imported answers require independent review unless marked reviewed.
Question 36
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For the exact differential equation,
which one of the following is the solution?Your answerChoose one option.
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If
satisfies the differential equation
, subject to the condition
, then
isYour answerChoose one option.
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If the Laplace transform of a function
is given by
, then
isYour answerChoose one option.
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The Dirac-delta function
for
, has the following property
The Laplace transform of the Dirac-delta function
for
;
isYour answerChoose one option.
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Consider the following differential equation
The solution of the equation that satisfies the condition
isYour answerChoose one option.
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The Laplace transform of a function
is
. Then,
isYour answerChoose one option.
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The solution of
which additionally satisfies
in the Laplace
-domain isYour answerChoose one option.
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For the equation
, if
, then the value of
isYour answerChoose one option.
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The differential equation
is valid in the domain
with
. The solution of the differential equation isYour answerChoose one option.
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A differential equation is given as
. The solution of the differential equation in terms of arbitrary constants
and
isYour answerChoose one option.
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