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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

24 e^{(- 20 t)} + 20 (\frac{6}{5} - \frac{6}{5} e^{(- 20 t)})

\frac{d}{d t} ((x) (2 x + \frac{2 y}{3}))

\frac{k ( 3 k + 7 )}{2}

1 - e^{- 2 t} (2 - e^{- t})

\frac{d ^{2}}{d x d y} ((z (x, y)) (x^{6} - 5 x^{4} y^{3} + 4 x y^{2}))

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