Find the curve on which the functional

Find the curve on which the functional oโˆซ๐œ‹/2 [(๐‘ฆโ€ฒ)2 + 12๐‘ฅ๐‘ฆ] ๐œ‹/2 0 ๐‘‘๐‘ฅ with ๐‘ฆ(0) = 0 ๐‘Ž๐‘›๐‘‘ ๐‘ฆ(๐œ‹/2) = 0 can be extremised.

Answer:-

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