Variable separable form of a first order ODE example 1

Introduction : In this solution, Variable separable form of a first order ODE example 1 is provided with step by step explanation.Question: Solve \[ \frac{dy}{dx} = \frac{1+y^2}{1+x^2}\]Solution:Given ODE\[ \frac{dy}{dx} = \frac{1+y^2}{1+x^2}\]We can write it as f(y)dy=g(x)dx\[\frac{1}{1+y^2}dy =\frac{1+y^2}{1+x^2} dx\]this is called…

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