GATE XE Partial Differential Equations PYQs & Answers

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Questions 1–9 of 9. Imported answers require independent review unless marked reviewed.

Topic practice 9 questionsPage 1 of 1

Consider the following partial differential equation (PDE)

Then, which of the following statements is/are true?

Your answerSelect all correct options. You can choose more than one.

In the region

, the PDE is hyperbolic

In the region

, the PDE is elliptic

In the region

, the PDE is elliptic

In the region

, the PDE is hyperbolic

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Consider the second order Partial Differential Equation (PDE)

Then which one of the following statements is correct?

Your answerChoose one option.

The PDE is hyperbolic in the region

The PDE is elliptic in the region

The PDE is parabolic in the region

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Let

be the solution of the initial boundary value problem

Then the value of

is equal to (rounded off to two decimal places)

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Let

be the solution of the initial boundary value problem

Then the value of

is __________ (in integer).

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If the partial differential equation

is parabolic on the circle

, then the values of

and

are given by

Your answerChoose one option.

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Let

be such that both

and

satisfy the Laplace equation in a domain

of the

-plane. Then, which one of the following is TRUE in

Your answerChoose one option.

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If the transformation

reduces the partial differential equation

to the equation

, then

equals

Your answerChoose one option.

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Let

satisfy the initial and boundary value problem

Then the value of

is ______________

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is the solution of the wave equation

with the initial conditions

and the boundary conditions

then the value of

is ________.

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GATE XE Partial Differential Equations PYQs

How to practice Partial Differential Equations

Question 19

Question 12

Question 21

Question 21

Question 13

Question 9

Question 4

Question 11

Question 9