My Math Forum question about derivation logic

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 March 19th, 2017, 02:57 AM #1 Newbie   Joined: Mar 2017 From: Finland Posts: 1 Thanks: 0 question about derivation logic Hi, i ended up to impossible conclusion of my calculations. I pondered the formula for velocity as below: s=vt >> ds/dt = v >> v=s/t when we put these together we'll get: >> ds/dt = s/t >> ds = s/t dt >> s = integral(ds) = integral (s/t) dt = s ln(t) >> ln(t) = 1 >> t = e what went wrong?
 March 19th, 2017, 04:01 AM #2 Senior Member   Joined: Feb 2016 From: Australia Posts: 1,591 Thanks: 546 Math Focus: Yet to find out. ds/dt denotes the function, s'(t). Why do you think it's o.k. to multiply both sides by dt in the fourth line? Also, where are your constants of integration?

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