Part BCSIR NET December 2023

Isoperimetric problems

The cardinality of the set of extremals of $J [y] = \int_{0}^{1} (y^{'})^{2}$ dx subject to $y (0) = 1, y (1) = 6, \int_{0}^{1} y$ dx = 3 is

You have the answer. Trap Analysis is why the other three were written.

Not a worked solution repeated four times — the specific reasoning error each wrong option was built to reward.

50 are analysed free — try those first.

The chapter behind this: Constrained variational problems — free to read