How to you find the general solution of $dy/dx=e^x/(1+e^x)$ ?

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Answer 1 · 2016-11-12T22:46:02

Use the separation of variables method and then integrate.

Given: $dy/dx = (e^x)/(1 + e^x)$

Use the separation of variables method:

$dy = (e^x)/(1 + e^x)dx$

Integrate both sides:

$intdy = int(e^x)/(1 + e^x)dx$

$y = ln( 1 + e^x) + C$

How to you find the general solution of dy/dx=e^x/(1+e^x)dy/dx=e^x/(1+e^x)?