Final answer to the problem
$y=\ln\left(\frac{-x-1}{e^x}+C_0\right)$
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Step-by-step Solution
How should I solve this problem?
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- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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1
Rewrite the differential equation using Leibniz notation
Learn how to solve integration by parts problems step by step online.
$e^{\left(x+y\right)}\frac{dy}{dx}=x$
Learn how to solve integration by parts problems step by step online. Solve the differential equation e^(x+y)y^'=x. Rewrite the differential equation using Leibniz notation. 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.
Final answer to the problem
$y=\ln\left(\frac{-x-1}{e^x}+C_0\right)$
