Is it just me or is there something strange going on here.
Consider the following differential equation:
Consider the transformation (x<1/2)
Then the differential equation is supposed to become:
However, when I did it I got:
I did the following:
Substitute f'(x) into the DE, also replacing (1/2-f(x)), to get
So what am I missing here (I'm 99% sure it's me who's wrong)?
Thanks very much!