CSIR NET Mathematics 2022|COV-IE (16 NOVEMBER)

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Question 1

The solution of the integral equation  is given by

• A 
• B
• C 
• D

Question 2

Extremals y = y(x) for the variational problem  satisfy the differential equation

• Ay’’ + y = 0
• By’’ – y= 0
• Cy’’ + y’ = 0
• Dy’ + y = 0

Question 3

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

• ANo solution
• Ban infinite number of solutions
• Cexactly two solutions
• Da unique solution

Question 4

The externals of the functional

Under the boundary condition y(0) = 0, y(π/2) =1 is:

• A
• B
• C
• D

Question 5

The extremal of the functional is

• A
• B
• C
• D

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