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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(- 2 x)^{2}

\frac{( x - 2 ) ( x - 4 )}{8}

\frac{1}{( 1 - x ) ( a - 2 x )}

lo g_{10} (\frac{9 x - 6}{x + 6})

3 (2 - 1)

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