What is expand (y*e^x+x*y*e^x+1)dx+(x*e^x)dy ?

The solution to expand (y*e^x+x*y*e^x+1)dx+(x*e^x)dy is e^xydx+e^xyxdx+dx+xe^xdy

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expand (ye^x+xye^x+1)dx+(xe^x)dy

expand

(y \cdot e^{x} + x \cdot y \cdot e^{x} + 1) d x + (x \cdot e^{x}) d y

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

Solution steps

(y e^{x} + x y e^{x} + 1) d x + (x e^{x}) d y

= (e^{x} y + e^{x} y x + 1) d x + (e^{x} x) d y

Expand

d x (y e^{x} + x y e^{x} + 1) : e^{x} y d x + e^{x} y x d x + d x

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

Remove parentheses:

(a) = a

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

\frac{30 ( x ^{2} + 3 )}{( x - 3 ) ^{3} ( x + 3 ) ^{3}}

(x^{2} - 3 x - 18) (x - 4 - 2 i) (x - 4 + 2 i)

(- 16, - 8) y (11, 19)

\frac{L ^{2} x ^{2} - 3 L x ^{3} + 2 x ^{4}}{L ^{3}}

\frac{( a - b ) ^{2}}{( a + b )}

What is expand (y*e^x+x*y*e^x+1)dx+(x*e^x)dy ?
The solution to expand (y*e^x+x*y*e^x+1)dx+(x*e^x)dy is e^xydx+e^xyxdx+dx+xe^xdy