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I'm reading an old book titled 'Mathematics of classical and quantum physics' by byron & fuller. It's quite nice, but some of the notation confuses me.

On page 388, they're showing a simple differential equation:

[tex]-i\frac{dy}{dx}=f(x)[/tex]

fine, but then they write the solution (given the initial condition y(a)=y0) as:

[tex]y(x) = y0 + i\int_a^x f(x')dx'[/tex]

These primes don't make any sense to me. What's up? Especially the one on the differential.

I would just have written the same thing without the primes.

I exspect this to be some kind of outdated notation, but it could also be that it just is something i've never seen. Can anyone tell me what's going on?

thx

Frederic