How would you simplify this equation?

dy/dx = - (1 + 5y^6 + y cos (xy)) / (1 + 30xy^5 + x cos (xy))

using u = y/x as a factor?

implicit solution DE to IVP

y(pi/2) = 1

No ; this is an " exact " type DE....solve it in that manner..

Yeah, if you have something this silly, it is an exact DE. I second this notion.