Teaching CSIR NET Mock Test Series Mathematical Science Calculus of Variations Euler-lagrange Equation
The cardinality of the set of extremals of
\(\displaystyle J[y]=\int_0^1\left(y^{\prime}\right)^2 d x, \)
subject to
y(0) = 1, y(1) = 6, \(\displaystyle \int_0^1 y d x=3\)
is
1
0
2
1
3
2
4
countably infinite