March 19th, 2017, 03:57 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, 05:01 AM  #2 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,476 Thanks: 495 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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