What is expand e^y((dy)/(dx)+1)=! ?

The solution to expand e^y((dy)/(dx)+1)=! is !e^y(dy)/(dx)+1*=!e^y

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expand e^y((dy)/(dx)+1)=!

expand

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

! e^{y} \frac{d y}{d x} + 1 \cdot =! e^{y}

Solution steps

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

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

Apply the distributive law:

a (b + c) = ab + a c

a = e^{y} =!, b = \frac{d y}{d x}, c = 1

= e^{y} =! \frac{d y}{d x} + e^{y} =! \cdot 1

=! e^{y} \frac{d y}{d x} + 1 \cdot =! e^{y}

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What is expand e^y((dy)/(dx)+1)=! ?
The solution to expand e^y((dy)/(dx)+1)=! is !e^y(dy)/(dx)+1*=!e^y