Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Mathematical Science Calculus of Variations Euler-lagrange Equation
The weak minimum of the functional I[y(x)] = \(\int_1^2 \frac{x^3}{y^{\prime 2}}\) dx, y(1) = 1, y(2) = 4 attained on the curve
1
y = x3
2
y = x2
3
y = x3 - x
4
None of these
5
Question Not Attempted