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

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

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

(2 + 23 i)^{5}

tan (\frac{17 π}{12})

(5 x + 2 y) (5 x - 2 y)

{9 x^{3} δ (x - 2)} (y)

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

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