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CSIR NET Mathematics 2024|COV-IE | 25 April 2024
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Question 1
Given the functional 
Question 2Multiple Correct Options
In Legendre’s test the integral 
, is maximum if value of 
is
, is maximum if value of is
Question 3
Find the extremal for 
subject to constraint 
subject to constraint
Question 4
The extremal of the functional
the boundary conditions 
Question 5Multiple Correct Options
The curve that extremizes the functional 
under the conditions y(0) = 0;
under the conditions y(0) = 0;
y′(0) = 1, y(π/4) = y′(π/4) = 
is
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Apr 25CSIR NET & SET
