GATE ME topic:differential-equations PYQs & Answers — Page 3

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topic:differential-equations

Questions 21–28 of 28. Imported answers require independent review unless marked reviewed.

Topic practice 28 questionsPage 3 of 3

Consider a function

which depends on position

and time

. The partial differential equation

is known as the

Your answerChoose one option.

Wave equation

Heat equation

Laplace’s equation

Elasticity equation

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is the solution of the differential equation

, the value of

Your answerChoose one option.

−2

−1

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Given the ordinary differential equation

with

and

, the value of y is ________ (correct to two decimal places).

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F(s) is the Laplace transform of the function

F(1) is ________ (correct to two decimal places).

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Consider the following partial differential equation for

with the constant

Solution of this equation is

Your answerChoose one option.

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The differential equation

for

with the two boundary conditions

and

has

Your answerChoose one option.

no solution

exactly two solutions

exactly one solution

infinitely many solutions

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The Laplace transform of

Your answerChoose one option.

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Consider the differential equation

with initial conditions

and

. The value of

is ________.

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GATE ME topic:differential-equations PYQs

Question 3

Question 4

Question 36

Question 38

Question 3

Question 4

Question 5

Question 27