Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Separable Differential Equation
- Exact Differential Equation
- Linear Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
- Integrate using tabular integration
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Simplify the fraction $\frac{e^x}{e^y}$ by $e$
Learn how to solve differential equations problems step by step online.
$\frac{dy}{dx}\left(1+e^x\right)=e^{\left(x-y\right)}$
Learn how to solve differential equations problems step by step online. Solve the differential equation dy/dx(1+e^x)=(e^x)/(e^y). Simplify the fraction \frac{e^x}{e^y} by e. Rewrite the differential equation. Apply the property of the product of two powers of the same base in reverse: a^{m+n}=a^m\cdot a^n. 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.