Guessing functions given initial conditions


by x3ro
Tags: conditions, functions, guessing, initial
x3ro
x3ro is offline
#1
Nov22-11, 10:38 PM
P: 3
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.
Phys.Org News Partner Science news on Phys.org
Cougars' diverse diet helped them survive the Pleistocene mass extinction
Cyber risks can cause disruption on scale of 2008 crisis, study says
Mantis shrimp stronger than airplanes
x3ro
x3ro is offline
#2
Nov22-11, 10:59 PM
P: 3
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.


Register to reply

Related Discussions
initial conditions Calculus & Beyond Homework 0
What's the difference between initial conditions and boundary conditions? Differential Equations 9
about initial conditions... General Astronomy 2
Initial conditions for PDE Differential Equations 2
DE with initial conditions Calculus & Beyond Homework 2