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

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

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

\frac{d}{d t} ((x) (2 a cos (t) - a cos (2 t)) d t)

\frac{1}{( 4 x + 5 ) ^{3}}

\frac{0.0049}{( z - 1 ) ( 20 z - 19.6 ) ( 245 z - 227.85 )}

\frac{( 1 - 9 x ^{3} ) ( 5 - 4 x )}{( 2 + 3 x ) ( 1 - 8 x ^{2} )}

\frac{10}{( s - 1 ) ^{2}}

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