Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Calculus of Variations Euler-lagrange Equation
Consider \(J[y]=\int_0^1\left[\left(y^{\prime}\right)^2+2 y\right] d x\) subject to y(0) = 0, y(1) = 1. Then inf J[y]
1
is \(\frac{23}{12}\)
2
is \(\frac{21}{24}\)
3
is \(\frac{18}{25}\)
4
does not exist
5
Question Not Attempted