Final Answer
Step-by-step Solution
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We could not solve this problem by using the method: Exact Differential Equation
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
Learn how to solve inequalities problems step by step online.
$y\cdot dy=\frac{e^x}{1+e^x}dx$
Learn how to solve inequalities problems step by step online. Solve the differential equation ((1+e^x)ydy)/dx=e^x. 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 ydy and replace the result in the differential equation. Solve the integral \int\frac{e^x}{1+e^x}dx and replace the result in the differential equation.