What is expand (xe^{y/x}+y)dx-xdy ?

The solution to expand (xe^{y/x}+y)dx-xdy is e^{y/x}xdx+ydx-xdy

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expand (xe^{y/x}+y)dx-xdy

expand

(x e^{\frac{y}{x}} + y) d x - x d y

e^{\frac{y}{x}} x d x + y d x - x d y

Solution steps

(x e^{\frac{y}{x}} + y) d x - x d y

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

Expand

d x (x e^{\frac{y}{x}} + y) : e^{\frac{y}{x}} x d x + y d x

= e^{\frac{y}{x}} x d x + y d x - x d y

2 (4 - 7 x^{7} + 4)

(1 + 2 x) y

\frac{10 x ^{2} + 9 x - 7}{( x + 2 ) ( x ^{2} - 1 )}

\frac{( s ^{3} - s ^{2} + 2 s )}{( s ^{2} + 1 ) ( s ^{3} - 3 s ^{2} + 4 s - 2 )}

(t^{\frac{1}{2}} + 14) (t + 3) d t

What is expand (xe^{y/x}+y)dx-xdy ?
The solution to expand (xe^{y/x}+y)dx-xdy is e^{y/x}xdx+ydx-xdy