Put the differential equation $$xy$($x$5+2)$y$=$cos$($x$)+$e$3$xy$$ into the form y$+$p$($x$)$y$=$g$($x$)$ and find p$($x$)$ and g$($x$).$

p$($x$)=$

and g$($x$)=$

help $($formulas$)$Is the differential equation$$xy$($x$5+2)$y$=$cos$($x$)+$e$3$xy linear and homogeneous, linear and nonhomogeneous, or nonlinear?