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

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

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

expand

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

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

Solution steps

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

Expand

d x (2 x y + x) : 2 x y d x + x d x

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

Expand

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

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

\frac{x ^{2} - 16}{( x ^{2} - 6 x - 27 ) ( x + 1 )}

\frac{\frac{d}{d x} ( ( x + 2 ) ^{2} )}{( 3 x + 5 ) ^{3}}

\frac{z}{( z + 1 ) ^{2}}

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

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

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