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Divide fractions $\frac{1}{\frac{1}{y+e^y}}$ with Keep, Change, Flip: $a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}$
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$y+e^y=x-e^{-x}$
Learn how to solve integral calculus problems step by step online. Solve the differential equation dy/dx=(x-e^(-x))/(y+e^y). Divide fractions \frac{1}{\frac{1}{y+e^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 . Expand the integral \int\left(y+e^y\right)dy into 2 integrals using the sum rule for integrals, to then solve each integral separately. Expand the integral \int\left(x-e^{-x}\right)dx into 2 integrals using the sum rule for integrals, to then solve each integral separately.