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Q82Section II (Mathematics)82 of 190

A resonant boundary condition leaves one constant completely free

The variational problem of extremizing the functional I[y(x)]=∫02π(y′2−y2)dx,y(0)=1,y(2π)=1I[y(x)]=\int_0^{2\pi}(y'^2-y^2)dx, y(0)=1, y(2\pi)=1 has:

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