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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):}`