discrete-time differential equation?
The task is as follows: Determine the impulse response of the given discrete system in the time domain in closed form using Z-transformation methods: y(k)+0.25y(k-2)=u(k)+2u(k-1) I first z-transformed the equation, and with U(z)=1 (since u(k) is momentum), I obtained the following form: G(z)=Y(z)=. I then tried to find a solution using partial fraction decomposition and…