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

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

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

expand

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

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

Solution steps

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

Expand

d x (2 x - y) : 2 x d x - y d x

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

Expand

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

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

(x + y)^{2}

\frac{1}{3} cos^{4} (x) + sin (x) (sin (x) - \frac{sin ^{3} ( x )}{3})

(1 + x^{2}) \cdot 1 + x^{2}

\frac{8}{3} \cdot (ln (2) - \frac{1}{3})

y^{'} (x) (2 x + 1)^{3}

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