0 0 votes A system described by the following differential equation $\frac{d^{2} y}{d t^{2}}+3 \frac{d y}{d t}+2 y=x(t)$ is initially at rest. For input $x(t)=2 u(t)$, the output $y(t)$ is $\left(1-2 e^{-t}+e^{-2 t}\right) u(t)$ $\left(1+2 e^{-t}-2 e^{-2 t}\right) u(t)$ $\left(0.5+e^{-t}+1.5 e^{-2 t}\right) u(t)$ $\left(0.5+2 e^{-1}+2 e^{-2 t}\right) u(t)$ Differential Equations gate2004-ec differential-equations control-systems continuous-time-signals circuit-analysis + – admin 401 views answer comment Share Follow Add Sync Questions Print 0 reply Please log in or register to add a comment.