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

The solution to expand (2xy+4x^3y^2)dx+(3x^2+4x^4y)dy is 2xydx+4x^3y^2dx+3x^2dy+4x^4ydy

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

expand

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

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

Solution steps

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

Expand

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

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

Expand

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

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

(x^{2} - 81) y^{''} (x) + (9 - x) y^{'} (x) + (x^{2} + 18 x + 81) y

(3 + i)^{10}

e^{x} (- e^{- x} x - e^{- x})

\frac{( 6 - 3 x ) ^{2}}{4}

\frac{s - 1}{( s + 2 ) ( s ^{2} + 4 )}

What is expand (2xy+4x^3y^2)dx+(3x^2+4x^4y)dy ?
The solution to expand (2xy+4x^3y^2)dx+(3x^2+4x^4y)dy is 2xydx+4x^3y^2dx+3x^2dy+4x^4ydy