CSIR NET Mathematics 2024|COV-IE | 15 February 2024

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Question 1

The externals of the functional

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

• A
• B
• C
• D

Question 2

The solution of the Fredholm integral equation is

• Ay(s) = -(50s + 40s²)
• By(s) = (30s + 15s²)
• Cy(s) = -(30s + 40s²)
• Dy(s) = (60s + 70s²)

Question 3

Given then solution is

• ACoshx
• BSinx
• CCosx
• DSinhx

Question 4

Given the functional

• AThe extremal is  
• BThe extremal is y = x² + h
• CThe extremal is u = sin x + cos x
• DThe extremal is y = cos 2x

Question 5

Find the extremal for subject to constraint

• A
• B
• C
• DNone of these

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