** Final answer to the problem

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** Step-by-step Solution **

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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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We can identify that the differential equation $\frac{dy}{dx}=\frac{x}{2x-y}$ is homogeneous, since it is written in the standard form $\frac{dy}{dx}=\frac{M(x,y)}{N(x,y)}$, where $M(x,y)$ and $N(x,y)$ are the partial derivatives of a two-variable function $f(x,y)$ and both are homogeneous functions of the same degree

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$\frac{dy}{dx}=\frac{x}{2x-y}$

Learn how to solve problems step by step online. Solve the differential equation dy/dx=x/(2x-y). We can identify that the differential equation \frac{dy}{dx}=\frac{x}{2x-y} is homogeneous, since it is written in the standard form \frac{dy}{dx}=\frac{M(x,y)}{N(x,y)}, where M(x,y) and N(x,y) are the partial derivatives of a two-variable function f(x,y) and both are homogeneous functions of the same degree. Use the substitution: x=uy. Expand and simplify. Integrate both sides of the differential equation, the left side with respect to u, and the right side with respect to y.

** Final answer to the problem

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