[tex]\bold{Given\ Equation :} \\ \\ y(x^3-y^5)dx-x(x^3+y^5)dy \\ \\ \bold{Solution:} \\ \\ y(x^3-y^5)dx-x(x^3+y^5)dy \\ \\ (yx^3-y^6)dx-(x^4+y^5x)dy \\ \\ dyx^4-dy^6x-(dyx^4+dy^6x)\ \ \ \ \ \ \ \ \ \ \ \ |\ ^{Distribute\ the\ negative\ sign} \\ .\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ ^{to\ the\ 2{nd}\ factor.} \\ \\ dyx^4-dy^6x-dyx^4-dy^6x\ \ \ \ \ \ \ \ \ \ \ \ \ \ |\ ^{Cancell\ dyx^4\ and\ -dyx^4} \\ \\ \bold{So\ you'll\ have:} [/tex]
[tex]\bold{dy^6x-dy^6x}\to\boxed{\boxed{\bold{-2d2y^62x}}} \\ \\ \\ Hope\ it\ Helps:) \\ Domini[/tex]
