What is expand (xy+y)dx-(x^2y^2+x^2+y^2+1)dy ?

The solution to expand (xy+y)dx-(x^2y^2+x^2+y^2+1)dy is xydx+ydx-x^2y^2dy-x^2dy-y^2dy-dy

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expand (xy+y)dx-(x^2y^2+x^2+y^2+1)dy

expand

(x y + y) d x - (x^{2} y^{2} + x^{2} + y^{2} + 1) d y

x y d x + y d x - x^{2} y^{2} d y - x^{2} d y - y^{2} d y - d y

Solution steps

(x y + y) d x - (x^{2} y^{2} + x^{2} + y^{2} + 1) d y

Expand

d x (x y + y) : x y d x + y d x

= x y d x + y d x - (x^{2} y^{2} + x^{2} + y^{2} + 1) d y

Expand

- d y (x^{2} y^{2} + x^{2} + y^{2} + 1) : - x^{2} y^{2} d y - x^{2} d y - y^{2} d y - d y

= x y d x + y d x - x^{2} y^{2} d y - x^{2} d y - y^{2} d y - d y

\frac{( h + 1 ) ( 4 h ^{2} + 8 h + 3 )}{3}

π l (r^{2} - r^{2})

\frac{( s + 1 ) ( s + 4 ) ( 4 s + 8 )}{s ^{2} + 9 s}

(- ln ∣ 25 - y ∣ = - 2 t + C) \cdot e

\frac{5 x ^{2} - 5 y ^{2} - 2 x z - 4 yz}{( x + y ) ^{4}}

What is expand (xy+y)dx-(x^2y^2+x^2+y^2+1)dy ?
The solution to expand (xy+y)dx-(x^2y^2+x^2+y^2+1)dy is xydx+ydx-x^2y^2dy-x^2dy-y^2dy-dy