Teaching CSIR NET Mock Test Series Mathematical Science Calculus of Variations Conditions for Extrema
The functional \(\rm \int_0^1\left(5x^2 + 3y^4 - 2y^{\prime 2}\right) d x\), y(1) = 1 achieves its
1
Strong maxima on not all its extremals.
2
Strong maxima on all its extremals.
3
Weak maximum on some, but not all of its extremals.
4
Strong minimum on some, but not on all of its extremals.