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

The solution to expand (x^2y-y^2)dx+(x^3+yx)dy is x^2ydx-y^2dx+x^3dy+xydy

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

- e^{x} (1 + e^{x})

\frac{( x + y ) ^{9}}{( x - y ) ^{5}}

\frac{1}{( x + h - 3 ) ( x - 3 )}

\frac{4 π ( r + 2 ) ^{2}}{3}

(9 t^{2} + 4) t^{2} + 1

What is expand (x^2y-y^2)dx+(x^3+yx)dy ?
The solution to expand (x^2y-y^2)dx+(x^3+yx)dy is x^2ydx-y^2dx+x^3dy+xydy