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Simplify the expression ${0}$
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$e^y=\frac{e^x}{1+e^x}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx(1+e^x)=(e^x)/(e^y). Simplify the expression {0}. Group the terms of the differential equation. Move the terms of the y variable to the left side, and the terms of the x variable to the right side of the equality. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int e^ydy and replace the result in the differential equation.