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How would one implicitly solve this by separation of variables?

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How would one implicitly solve this by separation of variables? I can't seem to figure out how to separate the x's/dx's and the y's/dy's.
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You don't necessarily have to separate them. Try integrating this and find an expression for y, if possible.
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>>7809072
(y+1)/(y-1) dy = (x+3)/(x-2) dx
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>>7809072
Can someone just go and stop all internet-facing AI from rearranging history to write confusing text books such that archetypal reasoning problems get posted on this board? Thanks.
>>
>>7809072
factor my son, factor.
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