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CSIR NET Mathematics 2023|COV-IE ( 7 JUNE 2023)
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Question 1Multiple Correct Options
The extremal of the function f:
where S’={(x,y):
} and f(x,y)=
for all (x,y) in S’ is
where S’={(x,y):} and f(x,y)= for all (x,y) in S’ is
Question 2Multiple Correct Options
Let g(x) = xe–x be the solution of the integral equation of
Then the value of k is not
Question 3Multiple Correct Options
If J(y) = 
, y(0) = 0
, y(0) = 0
and y(1) is arbitrary the extremal is not
Question 4Multiple Correct Options
The linear equation
Question 5Multiple Correct Options
Let k(x, t) = 2x, then
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