Consider the first-order difference equation Assuming the condition of initial...

Consider the first-order difference equation

Assuming the condition of initial rest (i.e., if x[n] = 0 for n < no, then y[n] = 0 for n < n₀), find the impulse response of a system whose input and output are related by this difference equation. You may solve the problem by rearranging the difference equation so as to express y[n] in terms of y[n -- 1 ] and x[n] and generating the values of in that order.