What is expand (4xy+2y+x^3)dx+(2y^2+3x^2y)dy ?

The solution to expand (4xy+2y+x^3)dx+(2y^2+3x^2y)dy is 4xydx+2ydx+x^3dx+2y^2dy+3x^2ydy

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expand (4xy+2y+x^3)dx+(2y^2+3x^2y)dy

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

= 4 x y d x + 2 y d x + x^{3} d x + 2 y^{2} d y + 3 x^{2} y d y

(9 x - 13 x^{3} + 12 - 15 x^{2}) l e f t (- 2 x^{3})

(3 - \frac{x}{2})^{8}

x^{\frac{3}{2}} (4 - 4 x)

0 \cdot (1 - a)^{2}

\frac{d}{d t} ((x (t, s)) (s + t))

What is expand (4xy+2y+x^3)dx+(2y^2+3x^2y)dy ?
The solution to expand (4xy+2y+x^3)dx+(2y^2+3x^2y)dy is 4xydx+2ydx+x^3dx+2y^2dy+3x^2ydy