** Final answer to the problem

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** Step-by-step Solution **

** How should I solve this problem?

- Choose an option
- 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
- Load more...

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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

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Integrate both sides of the differential equation, the left side with respect to $y$, and the right side with respect to $x$

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Solve the integral $\int1dy$ and replace the result in the differential equation

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Solve the integral $\int\frac{x+6}{x+1}dx$ and replace the result in the differential equation

** Final answer to the problem

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