Part BCSIR NET December 2023

Sturm–Liouville problems and Green's functions

The smallest real number $λ$ for which the problem $- y^{''} + 3 y = λ y, y (0) = 0, y (π) = 0$ has a non-trivial solution 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.