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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

x (x + 6) (x - 6)

\frac{\partial}{\partial x} ((z) (7 x + 8 y^{2}))

\frac{d}{d y} ((x) (1 + 7 x)^{8})

(2 x^{3} + 3 y) d x + (3 x + y - 1) d y

A (- 1, 2) B (- 3, - 6)

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