Consider J[y] = \(\rm \int_0^1[(y^{\prime})^2+2 y] d x\) 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
Consider J[y] = \(\rm \int_0^1[(y^{\prime})^2+2 y] d x\) subject to y(0) = 0, y(1) = 1.
Then inf J[y]