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Divide both sides of the equation by $d
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$\frac{1}{e^x}=\frac{e^ydy}{dx}$
Learn how to solve problems step by step online. Solve the differential equation 1/(e^x)dx=e^ydy. Divide both sides of the equation by d. 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 .