Question: 3.27. Find the unique minimizing function for F(y) = xy(x) dx o on D = {y E C' [0, 1]: y(0) = y(1) = 0},

3.27. Find the unique minimizing function for F(y) = xy(x) dx

o on D = {y E C' [0, 1]: y(0) = y(1)

3.27. Find the unique minimizing function for F(y) = xy(x) dx o on D = {y E C' [0, 1]: y(0) = y(1) = 0}, when restricted to the set where G(y) def y'(x)2 dx = 1

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