20121127028

Przykład : Brachistochrona z jednym końcem swobodnym

l(y)	i V /i+y	2	ll + y'^2
	fx = a\6 - sin (#))+x0	=> F -	i y
=>	[ V = tf(l- cos(#))	v(0) = 0 => x0	= 0
F, =	=;',L	=o =>y(x#	) = 0 => — = asin(#)= 0

yi+C/F^ ”■*    ^de

=> 0 - n, x_B = a(/r - sin (*))=} a = —

jx = —(#-sin(0))    _7    0 .

I ,    *    ; /=/„

7 = — (l-cos(#)) n