MaxMath
Junior Member
- Joined
- Mar 22, 2023
- Messages
- 115
Besides asking the author of that solution, how about telling us your thoughts: What limits of integration would you consider using, and why?
Or, look it up. Here's a nice explanation I found for the general concept:
By intuition, these are the right ones to be used. However, I was after mathematic rigour I guess!
The course note is very useful and interesting -- one aspect of the two forms of the answer to an IVP very well distilled. Thank you.
By the way, after reading that, I realised at least I had problems in my formula, in terms of the use of symbols
s(t)=1+∫0tv(t) dt
Perhaps it should be written as
s(t)=1+∫0tv(T) dT
This however brings about another question: what does it mean by saying v is a function of t, when it seems we can also say v is a function of s (apparently), which seems to lead to v(s,t)? What are the implications of we looking at it in these different ways?
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