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Rewrite the differential equation using Leibniz notation
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$\frac{dy}{dx}=e^y+e^{\left(x+y\right)}$
Learn how to solve problems step by step online. Solve the differential equation y^'=e^y+e^(x+y). Rewrite the differential equation using Leibniz notation. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. Factor the polynomial e^y+e^xe^y by it's greatest common factor (GCF): e^y. 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.