GATE MA year:2023 PYQs & Answers — Page 7

Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.

Topic practice 65 questionsPage 7 of 7

Let

be the disk

with boundary

. If

is the solution of the Dirichlet problem

then the value of

is ____________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

For every

, let

be a polynomial of degree

with

. Further, let

satisfy the Legendre equation

for some positive integer

, then the value of

is ____________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the ordinary differential equation (ODE)

and

are the roots of the indicial equation of the above ODE at the regular singular point

, then

is equal to ________ (rounded off to 2 decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Let

be the solution of the non-homogeneous wave equation

Then the value of

is ____________ (rounded off to 2 decimal places).

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

Consider the Linear Programming Problem P:

subject to

The optimal value of the problem P is equal to __________.

You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answer

GATE MA year:2023 PYQs