Question: ODEs question Write the Euler equation for the functional TT / 2 H Ily(2c) ] (y') 2. 2/2 + yx sin x dx N and

ODEs question

Write the Euler equation for the functional TT / 2 H Ily(2c) ] (y') 2. 2/2 + yx sin x dx N and find the extremal satisfying the boundary conditions TT y(0) = 0, y =1. NO Justify your

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