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

The solution to expand (e^x+y)dx+(2+x+ye^y)dy is e^xdx+ydx+2dy+xdy+e^yydy

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

expand

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

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

Solution steps

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

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

Expand

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

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

Expand

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

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

\frac{6 ( x - 1 )}{9 x ^{2} - 1}

x^{2} y (2, - 8)

(\frac{1}{x ^{8}})^{3}

\frac{( X - 2 ) 2}{( X ^{2} Z ^{3} ) 3}

4 (3 e^{4 x} + 2)

What is expand (e^x+y)dx+(2+x+ye^y)dy ?
The solution to expand (e^x+y)dx+(2+x+ye^y)dy is e^xdx+ydx+2dy+xdy+e^yydy