Problem 2: Find constants
a_(1),a_(2)
, and
a_(3)
so that the solution to the difference equation
a_(1)y[n-1]+a_(2)y[n]-a_(3)y[n+1]=\delta [n]
is equal to the signal
y[n]
, where,
y[n]={(3^(n),n<0),(2^(-n),n>=0):}