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