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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

- 3 (- 2 x - 4 v = 1)

((t + Δ t) - 1)^{2}

d y (2 + y e^{y})

\frac{( n + 4 ) ^{4}}{1 + n}

(10 - 2 h) π r^{2}

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