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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{( 1 + y ^{2} ) ( - 2 x - arctan ( y ) )}{x - y ^{2} - 1}

(cos (x) - sin (x)) \cdot cos (x)

- i x (2 - i) (5 x + 6 i)

- \frac{1}{s + 1} - 2 s - 2 + (\frac{1}{s + 1})

3 (5 + 13)

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