What is expand (y-x^3)dx+(y^3+x)dy ?

The solution to expand (y-x^3)dx+(y^3+x)dy is ydx-x^3dx+y^3dy+xdy

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expand (y-x^3)dx+(y^3+x)dy

expand

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

y d x - x^{3} d x + y^{3} d y + x d y

Solution steps

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

Expand

d x (y - x^{3}) : y d x - x^{3} d x

= y d x - x^{3} d x + (y^{3} + x) d y

Expand

d y (y^{3} + x) : y^{3} d y + x d y

= y d x - x^{3} d x + y^{3} d y + x d y

(2 - 2 x - 3 x^{2})^{5}

(y + 3) (y - 3)

- \frac{( s + 2 ) ( s + 3 ) ( s + 7 ) ( s + 10 )}{( s + 5 )}

(x + y i)^{4}

(4 x^{3} y - 15 x^{2} - y) d x + (x^{4} + 3 y^{2} - x) d y

What is expand (y-x^3)dx+(y^3+x)dy ?
The solution to expand (y-x^3)dx+(y^3+x)dy is ydx-x^3dx+y^3dy+xdy