Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Calculus of Variations
If J(y) = \(\int_2^3\left(y^{\prime 2}+2 y^5 y^{\prime}+y^{10}\right) dx\), y(0) = e2 , then external is
1
\(1= y^3( 4x + \frac{1}{e^6})\)
2
\(1= y^4( 4x^2 + \frac{1}{e^8})\)
3
\(1= y^4( 4x + \frac{1}{e^8})\)
4
\(1= y^2( 4x + \frac{1}{e^8})\)
5
Question Not Attempted