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

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

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

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

A (2, - 3) y B (4, 5)

(x^{2} + 5) e^{9 x + 4}

ln (7) (x + 3) + ln (7) (x - 2 = ln (7) (2 x + 14))

\frac{4 ( x - 3 )}{5}

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