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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

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

\frac{( x - 1 ) ( - x + 4 )}{2}

5 (a - 3 h^{2})

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

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