Mathematics
2022 · Paper 1
Take it one question at a time. Try an answer, then check your understanding.
Complete GATE MA 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice
Questions 19–21 of 65. Imported answers require review unless explicitly marked reviewed.
Question 19
Open questionMAMCQ1 markNeeds review
The initial value problem
where
is a real constant, hasYour answerChoose one option.
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Open questionMAMCQ1 markNeeds review
If eigenfunctions corresponding to distinct eigenvalues
of the Sturm-Liouville problem
are orthogonal with respect to the weight function
, then
isYour answerChoose one option.
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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 21
Open questionMAMCQ1 markNeeds review
The steady state solution for the heat equation
with the initial condition
,
and the boundary conditions
and
,
, at
isYour answerChoose one option.
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