What is expand (1+2e^{x/y})dx+2e^{x/y}(1-x/y)dy ?

The solution to expand (1+2e^{x/y})dx+2e^{x/y}(1-x/y)dy is dx+2e^{x/y}dx+2e^{x/y}dy-(2e^{x/y}xdy)/y

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expand (1+2e^{x/y})dx+2e^{x/y}(1-x/y)dy

expand

(1 + 2 e^{\frac{x}{y}}) d x + 2 e^{\frac{x}{y}} (1 - \frac{x}{y}) d y

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

Solution steps

(1 + 2 e^{\frac{x}{y}}) d x + 2 e^{\frac{x}{y}} (1 - \frac{x}{y}) d y

Expand

d x (1 + 2 e^{\frac{x}{y}}) : d x + 2 e^{\frac{x}{y}} d x

= d x + 2 e^{\frac{x}{y}} d x + 2 e^{\frac{x}{y}} (1 - \frac{x}{y}) d y

Expand

2 e^{\frac{x}{y}} d y (1 - \frac{x}{y}) : 2 e^{\frac{x}{y}} d y - \frac{2 e ^{\frac{x}{y}} x d y}{y}

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

e^{x} (x^{2} + x)

n (\frac{( 4 - π ) θ}{4 n} + \frac{π θ}{4})

\frac{d}{d x} ((x - 1) (x - 6)^{3}) + 9

e^{x} (x^{2} - 1)

e x p a (3 x - 2) (2 x - 3)

What is expand (1+2e^{x/y})dx+2e^{x/y}(1-x/y)dy ?
The solution to expand (1+2e^{x/y})dx+2e^{x/y}(1-x/y)dy is dx+2e^{x/y}dx+2e^{x/y}dy-(2e^{x/y}xdy)/y