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Finding a general solution to Diff. Eq. solution check - Broken problem, or bad math?

Single Infinity
By Single Infinity
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I'm Not Sure if I did some terrible math, or if the solution check is broken. Any insight? Wolfram Alpha verifies this solution for me as well.

That solution is correct so not sure what the problem is. Just antidifferentiate term by term and you will get the answer. Remember integral of 1/x is ln(x) so integral of 5/x is 5ln(x).

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