Unit Pulse Response for a discrete time system

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Homework Statement



Compute the unit-pulse response h[n] for n= 0,1,2,3 for the following discrete time system:
y[n+2] + 1/2y[n+1] + 1/4y[n] = x[n=1] - x[n]

Homework Equations



I think i am supposed to replace the functions of x with delta functions, which are zero at all except n=0, however i cant work out what to do with the y[2], y[1] functions?... do i just leave them in that form or is there a way to evaluate them? i've been searching my textbook but its so hard to follow what is going on! Its Fundamentals of signals and systems by Kamen and Heck.... which is the prescribed text for uni but dos anyone know of one which is written in a more reader-friendly way? :P.

The Attempt at a Solution



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