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

The solution to expand (4xy+3y^2-x)dx+x(x+2y)dy is 4xydx+3y^2dx-xdx+x^2dy+2xydy

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{0.732 ( z + 0.1 )}{( z - 1 ) ( z - 0.9512 )}

\frac{d}{d x} (3 x + y + z) + \frac{d}{d z} (3 (x - z))

- 4 x^{2} e^{y^{2} - x^{2}} (1 - x^{2} - y^{2})

\frac{x ^{2} - 4 x + 1}{( x ^{2} + 1 ) ( x + 1 ) ^{2}}

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