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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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$\frac{y}{y+1}dy=\frac{2}{x\ln\left(x\right)}dx$
Learn how to solve problems step by step online. Solve the differential equation yln(x)dy/dx=((y+1)/x)^2. 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. Simplify the expression \frac{2}{x\ln\left(x\right)}dx. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\frac{y}{y+1}dy and replace the result in the differential equation.