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Rewrite the differential equation
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$\frac{dy}{dx}=\frac{\left(1+y\right)^2}{\left(1+x\right)^2}$
Learn how to solve differential equations problems step by step online. Solve the differential equation (1+x)^2dy/dx=(1+y)^2. Rewrite the differential 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}{\left(1+y\right)^2}dy and replace the result in the differential equation.