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Rewrite the differential equation using Leibniz notation
Learn how to solve sum rule of differentiation problems step by step online.
$\left(1+e^x\right)\frac{dy}{dx}=\frac{e^x}{y}$
Learn how to solve sum rule of differentiation 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 y, and the right side with respect to x. Solve the integral \int ydy and replace the result in the differential equation.