$($a$)$ Show that y$^6+$ x $-4=0$ is an implicit solution to

dy$/$dx $=-1/6$y$^5$ on the interval $(-0$o$,4).$

$($b$)$ Show that xy$5-$ xy$5$ sin x $=1$ is an implicit solution to the differential equation

$($x cos x $+$ sin x $-1)$y

$5($x $-$ x sin x$)$

on the interval

$0,$

$2$