What is expand (2x+xy^2)dx-(4y+x^2y)dy ?

The solution to expand (2x+xy^2)dx-(4y+x^2y)dy is 2xdx+xy^2dx-4ydy-x^2ydy

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expand (2x+xy^2)dx-(4y+x^2y)dy

expand

(2 x + x y^{2}) d x - (4 y + x^{2} y) d y

2 x d x + x y^{2} d x - 4 y d y - x^{2} y d y

Solution steps

(2 x + x y^{2}) d x - (4 y + x^{2} y) d y

Expand

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

= 2 x d x + x y^{2} d x - (4 y + x^{2} y) d y

Expand

- d y (4 y + x^{2} y) : - 4 y d y - x^{2} y d y

= 2 x d x + x y^{2} d x - 4 y d y - x^{2} y d y

232

- 4 x - 2 (2 x + 10 = - 116)

(- 1) (x + 4 y - 8 = 0)

(u y + y) d y

\frac{f ( x ^{2} - 8 + H ) - x ^{2} - 8}{H}

What is expand (2x+xy^2)dx-(4y+x^2y)dy ?
The solution to expand (2x+xy^2)dx-(4y+x^2y)dy is 2xdx+xy^2dx-4ydy-x^2ydy