What is expand y(y^2+1)dx+x(y^2-1)dy ?

The solution to expand y(y^2+1)dx+x(y^2-1)dy is y^3dx+ydx+y^2xdy-xdy

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expand y(y^2+1)dx+x(y^2-1)dy

expand

y (y^{2} + 1) d x + x (y^{2} - 1) d y

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

Solution steps

y (y^{2} + 1) d x + x (y^{2} - 1) d y

Expand

y d x (y^{2} + 1) : y^{3} d x + y d x

= y^{3} d x + y d x + x (y^{2} - 1) d y

Expand

x d y (y^{2} - 1) : y^{2} x d y - x d y

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

10 (a^{100})

81

\frac{2}{( s + 1 ) e ^{3 (s - 1)}}

(1 - \frac{3}{x})^{2}

5 (3 + 2)

What is expand y(y^2+1)dx+x(y^2-1)dy ?
The solution to expand y(y^2+1)dx+x(y^2-1)dy is y^3dx+ydx+y^2xdy-xdy