12 2 5[1₁ Y>] = {dx [74, ² + 24 y/y + z\y 2² +4y² ² + 12yy₁ + 99² ² ] Euler - Lagrange equations for y, and you are £ (148 + 24y² )-(84, +12g2) = and » &yır + 144" - 44, -6y2 =0 and (>4y² + +2y) - (12y + 18y2) = 0 ⇒ 14y, +244" - Sy₁ - 12y2 =0 7y" + 12y" -4y, - byz and → 24 y " + 42 yu - 124, -18y2=0 =0 , = 0 4₁ =α31-332 y₁ = αzí - 3gr → 4y₁ + 7y," -241-342- , уг = 31 +ъзг Yi 81+232 y = gì tước y! S[31, 32] = [dx [7 (231 -336)² + 24 (231 - 336) (31 +286) + = ye + 21 (z 1 + zzz² )² + 4 (α281-332)² + 12 (α81-332) (31 +232) +9 (317232) ³] 92 Yi "" Solo [7 (dit - 6αzízé + 932²) + 24(231²+243√32-38132-635) + 21 (g₁² + 4 zizi +4z²² ) + 4 (2}; - 6α132 + 932) +12 (237 + 2x182–81h2 – 632) + 9 (z; +4zizz + 435 ) ] -623132 What is L 22 How to find α ??