Question: Write down the Euler-Lagrange equation associated with the following calculus of variation problem and obtain its optimal solution xo(t), t [0, ln 2]: min Z

Write down the Euler-Lagrange equation associated with the following calculus of variation problem and obtain its optimal solution xo(t), t [0, ln 2]: min Z ln 2 0 x(t)(1 + x2(t))1 2 dt, x(0) = 1, x(ln 2) = 5 4

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