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

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

Popular >

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\Rightarrow 2 (x^{4} - 2 x^{3} + 4 x^{2} - 7 x - 34)

6 (1 - x - \frac{1 - x ^{2}}{2})

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

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

\frac{9 x ^{5} - 27 x ^{4} - 450 x ^{2} - 12 x + 6}{3 x - 15}

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