Skip to content
Competitive Stats
Q86Section II (Mathematics)86 of 180

Calculus of variations — a free end-point adds a natural boundary condition

The functional I(y(x))=∫0π/4(y2−y′2) dxI(y(x))=\int_0^{\pi/4}(y^2-y'^2)\,dx satisfying y(0)=0y(0)=0 attains its extremal on the curve:

Options

Pick an option to check your answer.