What is expand (x^2y^3+2y)dx+(2x-2x^3y^2)dy ?

The solution to expand (x^2y^3+2y)dx+(2x-2x^3y^2)dy is x^2y^3dx+2ydx+2xdy-2x^3y^2dy

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expand (x^2y^3+2y)dx+(2x-2x^3y^2)dy

expand

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

x^{2} y^{3} d x + 2 y d x + 2 x d y - 2 x^{3} y^{2} d y

Solution steps

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

Expand

d x (x^{2} y^{3} + 2 y) : x^{2} y^{3} d x + 2 y d x

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

Expand

d y (2 x - 2 x^{3} y^{2}) : 2 x d y - 2 x^{3} y^{2} d y

= x^{2} y^{3} d x + 2 y d x + 2 x d y - 2 x^{3} y^{2} d y

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

\frac{( x + h )}{( x + h ) ^{2} + 1}

\frac{2}{( 2 s + 1 ) ( s + 1 ) ( s + 2 )}

- (\frac{9}{14} lo g_{2} (\frac{9}{14}) + \frac{5}{14} lo g_{2} (\frac{5}{14}))

2 e^{x^{2} - 4 x} (2 x - 4)

What is expand (x^2y^3+2y)dx+(2x-2x^3y^2)dy ?
The solution to expand (x^2y^3+2y)dx+(2x-2x^3y^2)dy is x^2y^3dx+2ydx+2xdy-2x^3y^2dy