Guessing functions given initial conditions

  • Thread starter x3ro
  • Start date
  • #1
3
0

Main Question or Discussion Point

Is there any way to mathematically derive functions that satisfy a given set of initial conditions? I know this sounds very general, but say for:

f(1)-f(0)=0

and

f'(1)=1

I've resolved myself to guessing and checking. I've found a function for the opposite: e*t-exp(t) -- ([e*1 - exp(1)] - [e*0 - exp(0)] = [0]-[-1]= 1 -- derivative is e - exp(t) --> (e - exp(1) = 0) but given how long it took just to guess that function, I was hoping for a more concrete way to find these functions.
 

Answers and Replies

  • #2
3
0
Of course after posting this, I come up with a very simplistic solution...x^2 - x. But, had to guess...so still doesn't solve the problem for me.
 

Related Threads for: Guessing functions given initial conditions

Replies
5
Views
775
Replies
2
Views
3K
  • Last Post
Replies
13
Views
4K
Replies
2
Views
4K
  • Last Post
Replies
5
Views
523
  • Last Post
Replies
1
Views
2K
  • Last Post
Replies
2
Views
3K
Top