Find the curve on which the functional o∫𝜋/2 [(𝑦′)2 + 12𝑥𝑦] 𝜋/2 0 𝑑𝑥 with 𝑦(0) = 0 𝑎𝑛𝑑 𝑦(𝜋/2) = 0 can be extremised.
Answer:-
Find the curve on which the functional
Find the curve on which the functional o∫𝜋/2 [(𝑦′)2 + 12𝑥𝑦] 𝜋/2 0 𝑑𝑥 with 𝑦(0) = 0 𝑎𝑛𝑑 𝑦(𝜋/2) = 0 can be extremised.
Answer:-