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Rewrite the differential equation using Leibniz notation
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$\left(1+e^x\right)\frac{dy}{dx}=\frac{e^x}{y}$
Learn how to solve problems step by step online. Solve the differential equation (1+e^x)y^'=(e^x)/y. Rewrite the differential equation using Leibniz notation. Divide fractions \frac{1}{\frac{1}{y}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. 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.