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Group the terms of the equation
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$x\cdot dy=-\left(y+1\right)dx$
Learn how to solve problems step by step online. Solve the differential equation (y+1)dx+xdy=0. Group the terms of the equation. 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. Integrate both sides of the differential equation, the left side with respect to . Solve the integral \int\frac{1}{y+1}dy and replace the result in the differential equation.