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

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

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

\frac{1}{( s - 1 ) ( s ^{2} + 9 )}

225

\frac{1 - j}{( 1 + j ) ^{2}}

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

\frac{2 n ( n + 1 ) ( 2 n + 1 )}{3}

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