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Find the general solution for
Solution:
Consider the given equation above
Since the grouped terms consist of only one variable, then we can divide both sides of the equation by (y + 2)(x - 2) so that we can separate dx and dy from other variables as follows
Integrate both sides of the equation, we have
Take the inverse natural logarithm on both sides of the equation, we have
Therefore, the general solution is
where K = C + 4.