Put the differential equation xy$/($x$5+6)$y$=$cos$($x$)+$e$4$xy into the form y$+$p$($x$)$y$=$g$($x$)$and find p$($x$)$and g$($x$).$p$($x$)=?$g$($x$)=?.$Is the differential equation xy$($x$5+6)$y$=$cos$($x$)+$e$4$xy linear and homogeneous, linear and nonhomogeneous, or nonlinear?