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

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

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

expand

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

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

Solution steps

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

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

Expand

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

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

\frac{f ( c + h ) - f c ^{^{'}}}{h}

- 14 (- 2 e^{- x^{2}} x^{2} + e^{- x^{2}})

\frac{( x + 1 ) x ( x - 1 )}{6}

B D + B (C + E) + D^{^{'}} (D + F)

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

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