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

The solution to expand y(y^3-x)dx+x(y^3+x)dy is y^4dx-yxdx+y^3xdy+x^2dy

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

expand

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

y^{4} d x - y x d x + y^{3} x d y + x^{2} d y

Solution steps

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

Expand

y d x (y^{3} - x) : y^{4} d x - y x d x

= y^{4} d x - y x d x + x (y^{3} + x) d y

Expand

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

= y^{4} d x - y x d x + y^{3} x d y + x^{2} d y

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

2 (2 + 2)

- x^{\frac{2}{3}} (x - 4)

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

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

What is expand y(y^3-x)dx+x(y^3+x)dy ?
The solution to expand y(y^3-x)dx+x(y^3+x)dy is y^4dx-yxdx+y^3xdy+x^2dy