Question: Derive a necessary condition for an extremum for the isometric problem J ( y 1 , y 2 ) = a b L ( x

Derive a necessary condition for an extremum for the isometric problem
J(y1,y2)=abL(x,y1,y2,y1',y2')dx
with y1(a)=A1,y2(a)=A2,y1(b)=B1,y2(b)=B2 subject to the constraint
W(y1,y2)=abG(x,y1,y2,y1',y2')dx=C.
Derive a necessary condition for an extremum for

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