Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Calculus of Variations Euler-lagrange Equation
Let y = ϕ(x) be the extremizing function for the functional \(I(y)=\int_0^1 y^2\left(\frac{d y}{d x}\right)^2 d x\) subject to y(0) = 0, y(1) = 1. Then ϕ(1/4) is equal to
1
1/2
2
1/4
3
1/8
4
1/12
5
Question Not Attempted