GATE MA 2023 Paper 1 — page 21

Questions 61–63 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 21 of 22

Let

be the disk

with boundary

. If

is the solution of the Dirichlet problem

then the value of

is ____________.

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For every

, let

be a polynomial of degree

with

. Further, let

satisfy the Legendre equation

for some positive integer

, then the value of

is ____________.

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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).

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2023 · Paper 1