What is expand (x^2+y)dx+(y^3+x)dy ?

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

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expand (x^2+y)dx+(y^3+x)dy

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

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\frac{d x}{d} (y^{2} + x^{2} = 13)

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6 (4 ln (2) - 1)

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

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