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

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

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

expand

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

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

Solution steps

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

Expand

d x (x y - 4 x) : x y d x - 4 x d x

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

Expand

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

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

3 (x^{2})

3 (14 - e)

\frac{6 x ^{2} + 8 x - 82}{( x - 2 ) ( x ^{2} + 6 x + 5 )}

e^{4} (10 - x)

- \frac{sinh ( x ) ( x ^{2} + 1 )}{2 x}

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