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CSIR NET Mathematics 2024|COV-IE | 15 February 2024
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Question 1
The externals of the functional
![](https://gradeup-question-images.grdp.co/liveData/PROJ103241/1650617106457431.png)
Under the boundary condition y(0) = 0, y(π/2) =1 is:
Question 2
The solution of the Fredholm integral equation
is
![](https://gradeup-question-images.grdp.co/liveData/PROJ99648/1646039129937968.png)
Question 3
Given
then solution is
![](https://gradeup-question-images.grdp.co/liveData/PROJ105095/1653555553173479.png)
Question 4
Given the functional
![](https://gradeup-question-images.grdp.co/liveData/PROJ101703/1648621322756363.png)
Question 5
Find the extremal for
subject to constraint
![](https://gradeup-question-images.grdp.co/liveData/PROJ104118/1652076543236310.png)
![](https://gradeup-question-images.grdp.co/liveData/PROJ104118/1652076543985581.png)
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Feb 15CSIR NET & SET