A particular LTI system is described by the difference equationy[n] + {y[n - 1] - ly[n - 2] = x[n] - x[n - 1]

To analyze the given difference equation, let's break it down step by step:

1. The equation represents a linear time-invariant (LTI) system, which means that the system's behavior does not change over time and it has a linear relationship between its input and output.

2. The equation describes the relationship between the input signal x[n], the output signal y[n], and the system's parameters l.

3. The left-hand side of the equation represents the output signal y[n] and its past values. Specifically, y[n] is combined with y[n-1] and l times y[n-2].

4. The right-hand side of the equation represents the input signal x[n] and its past value x[n-1].

5. By rearranging the equation, we can isolate the output signal y[n]:

   y[n] = x[n] - x[n-1] - y[n-1] + l*y[n-2]

6. This equation shows that the current output y[n] is determined by the current input x[n], the previous input x[n-1], the previous output y[n-1], and the previous output y[n-2] scaled by the parameter l.

7. The equation can be used to simulate the behavior of the LTI system and analyze its response to different input signals.

Overall, the given difference equation describes the behavior of a particular LTI system and provides a mathematical relationship between the input and output signals.