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

The solution to expand (4x+xy^2)dx+(y+x^2y)dy is 4xdx+xy^2dx+ydy+x^2ydy

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expand (4x+xy^2)dx+(y+x^2y)dy

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

24 (263 - 45)

\frac{( x + 3 ) ( x ^{2} - 16 )}{( 2 x + 1 ) ( 3 ^{x} + x ^{2} )}

y (x - 7)

(1 - e^{- λ_{1} y}) (1 - e^{- λ_{2} y})

(4 x + 3) (x - 3) (x + 3)

What is expand (4x+xy^2)dx+(y+x^2y)dy ?
The solution to expand (4x+xy^2)dx+(y+x^2y)dy is 4xdx+xy^2dx+ydy+x^2ydy