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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{x + 1}{x ^{2} ( x ^{2} + 9 )}

\frac{w}{( s + w ) ^{2}}

\frac{3 x - 1}{( x - 3 ) ( x + 8 )}

\frac{( 7 - x ) ^{2}}{24}

(x + 4 y y^{'} (x))^{2}

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