0 0 votes Let a causal LTI system be characterised by the following differential equation, with initial rest condition $\frac{d^{2}y}{dt^{2}}+7\frac{dy}{dt}+10y (t)=4x(t)+5\frac{dx(t)}{dt}$ where, $x(t)$ and $y(t)$ are the input and output respectively. The impulse response of the system is ($u(t)$ is the unit step function) $2e^{-2t}u(t)-7e^{-5t}u(t)$ $-2e^{-2t}u(t)+7e^{-5t}u(t)$ $7e^{-2t}u(t)-2e^{-5t}u(t)$ $-7e^{-2t}u(t)+2e^{-5t}u(t)$ Differential Equations gate2017-ee-1 differential-equations signals-and-systems + – Arjun 271 views answer comment Share Follow 0 reply Please log in or register to add a comment.
