Hi all,

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:

Calculate f'(x):

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!