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Question

For the differential equation in given question find the general solution.​​​​

dydx=(1+x2)(1+y2)

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Solution

Given, dydx=(1+x2)(1+y2)
On separating the variables, we get
dy1+y2=dx(1+x2)dy1+y2=1dx+x2dx
Integrating, we get dy1+y2=dx+x2dxtan1y=x+x33+C
which is required general solution.


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