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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{2 ( 5 s + 11 )}{( s + 7 - j \cdot 24 ) ( s + 7 + j \cdot 24 )}

\frac{1}{2 ( x - 5 ) ^{2}}

\frac{e ^{- 3 s}}{s ( s ^{2} + 1 )}

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

(a \cdot x + b \cdot x^{\frac{1}{2}} + c)^{2}

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