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March 19th, 2017, 03:57 AM   #1
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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?
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March 19th, 2017, 05:01 AM   #2
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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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