don't need to solve this problem.

I want h(t) that impulse response for problem's y(t) and x(t).

2.31. Consider the LTI system initially at rest and described by the difference equation * y[n] + 2y[n - 1] = x[n] + 2x[n - 2]. Find the response of this system to the input depicted in Figure P2.31 by solving the difference equation recursively. x[n] 3 ilir. -2-1 0 1 2 3 4 Figure P2.31 a[n]+ 2 [H]=> [W1+2 [-] y[n] + 2y [n 1]=0 YE-3] = 0 x[n] = 5h+2]+28 [n+1]+ 38[n] + 25[n-]t28[n-1]+ S2] e) yn [n] = AB yn [n] + 2 yn [n] = ABT+2 A8h4 = 0 ABH(B+2)=0. B=-2 Yn [n] = A(-2)"yn [] = A=1 : Yh[n] = (-2) ) Y p [n] = k [n] = k [S+2]+28 [n+i]+ 3S[n]+28[n+3+28[n-2] + S[13]]