The following arrangement consists of an ideal transformer and an attenuator which attenuates by a factor of 0.8. An ac voltage V_wx1 = 100V is applied across WX to get an open circuit voltage YZ1 V across YZ. Next, an ac voltage V_YZ2 =100V is applied across YZ to get an open circuit voltage V_WX2 across WX. Then, V_YZ1 / V_WX1 , V_WX2 / V_YZ2 are respectively,

The impulse response of a system is h(t) = t u(t). For an input u(t - 1), the output is

A system is described by the differential equation $$${{{d^2}y} \over {d{t^2}}} + 5{{dy} \over {dt}} + 6y\left( t \right) = x\left( t \right)$$$
Let x(t) be a rectangular pulse given by $$$x\left( t \right) = \left\{ {\matrix{ {1\,\,\,\,\,\,\,\,\,0 \le \,t\, \le 2} \cr {0\,\,\,\,\,otherwise} \cr } } \right.$$$

Assuming that y(0) = 0 $${{dy} \over {dt}} = 0$$ at t = 0, the Laplace transform of y(t) is