Chapter 7: Transcendental Functions - Section 7.4 - Exponential Change and Separable Differential Equations - Exercises 7.4 - Page 400: 18

$\frac{e^{2y}}{2}$ = $e^{x}+C$

$\frac{dy}{dx}$ = $\frac{e^{2x-y}}{e^{x+y}}$ $\frac{dy}{dx}$ = ${e^{2x-y-x-y}}$ $\frac{dy}{dx}$ = ${e^{x-2y}}$ $e^{2y}dy$ = $e^{x}dx$ $\int(e^{2y})dy$ = $\int(e^{x})dx$ $\frac{e^{2y}}{2}$ = $e^{x}+C$