What is expand (4x^2+y)dx+(5y^3-x)dy ?

The solution to expand (4x^2+y)dx+(5y^3-x)dy is 4x^2dx+ydx+5y^3dy-xdy

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expand (4x^2+y)dx+(5y^3-x)dy

expand

(4 x^{2} + y) d x + (5 y^{3} - x) d y

4 x^{2} d x + y d x + 5 y^{3} d y - x d y

Solution steps

(4 x^{2} + y) d x + (5 y^{3} - x) d y

Expand

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

= 4 x^{2} d x + y d x + (5 y^{3} - x) d y

Expand

d y (5 y^{3} - x) : 5 y^{3} d y - x d y

= 4 x^{2} d x + y d x + 5 y^{3} d y - x d y

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

a (e^{- k x} + e^{k x})

\frac{3 ( 8 + x )}{2}

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

\frac{( 6 a + 7 b ) ( a - 7 b )}{b ( 6 ab + 7 )}

What is expand (4x^2+y)dx+(5y^3-x)dy ?
The solution to expand (4x^2+y)dx+(5y^3-x)dy is 4x^2dx+ydx+5y^3dy-xdy