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Find the general solution for
Solution:
Consider the given equation above
In order to separate dx and dy from other variables, divide both sides of the equation by (1 + y2)(1 + x2) as follows
Integrate both sides of the equation, we have
Apply the inverse trigonometric identities formula at the left side of the equation, we have
Take tangent on both sides of the equation, we have
where D = tan C.
Therefore, the general solution is
