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CSIR NET Mathematics 2022| COV-IE (9 NOV)

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Question 1

Consider  subject to y (0) = 0 and y (2) = 4 then int J(y) is

Question 2Multiple Correct Options

The eigen value l of the following Fredholm integral equation  is

Question 3

Let y = f(x) be the extremizing function for the functional  subject to y(0) = 0, y(2) = 1 . Then f(1/8) is

Question 4

The functional  with y(0) = 0 4 y(2) = 3 hens

Question 5

Find the integrand of y” + xy = -x, y (0) = y (1) = 0
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Aug 24CSIR NET & SET