What is expand x(y^6+1)dx+y^2(x^4+1)dy ?

The solution to expand x(y^6+1)dx+y^2(x^4+1)dy is xy^6dx+xdx+x^4y^2dy+y^2dy

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expand x(y^6+1)dx+y^2(x^4+1)dy

expand

x (y^{6} + 1) d x + y^{2} (x^{4} + 1) d y

x y^{6} d x + x d x + x^{4} y^{2} d y + y^{2} d y

Solution steps

x (y^{6} + 1) d x + y^{2} (x^{4} + 1) d y

Expand

x d x (y^{6} + 1) : x y^{6} d x + x d x

= x y^{6} d x + x d x + y^{2} (x^{4} + 1) d y

Expand

y^{2} d y (x^{4} + 1) : x^{4} y^{2} d y + y^{2} d y

= x y^{6} d x + x d x + x^{4} y^{2} d y + y^{2} d y

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

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

4 (z - 1) (z - e^{α})

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

lo g_{\frac{1}{2}} (x y)

What is expand x(y^6+1)dx+y^2(x^4+1)dy ?
The solution to expand x(y^6+1)dx+y^2(x^4+1)dy is xy^6dx+xdx+x^4y^2dy+y^2dy