A waveform generator circuit using $$OPAMPs$$ is shown in the figure. It produces a triangular wave at point $$'P'$$ with a peak to peak voltage of $$5V$$ for $${v_1} = 0\,V.$$

If the voltage $${v_1}$$ is made $$+2.5$$ $$V,$$ the voltage waveform at $$'P'$$ will become.

The truth of a monoshot shown in the figure is given in the table below:

Two monoshots, one positive edge triggered and other negative edge triggered, are connected as shown in the figure. The pulse widths of the two monoshot options, $${Q_1}$$ and $${Q_2}$$ are $${T_{O{N_1}}}$$ and $${T_{O{N_2}}}$$ respectively.

The frequency and the duty cycle of the signal at $${Q_1}$$ will respectively be

A function $$y(t)$$ satisfies the following differential equation : $${{dy\left( t \right)} \over {dt}} + y\left( t \right) = \delta \left( t \right)$$

Where $$\delta \left( t \right)$$ is the delta function. Assuming zero initial condition, and denoting the unit step function by $$u(t),y(t)$$ can be of the form

The transfer function of a linear time invariant system is given as $$G\left( s \right) = {1 \over {{s^2} + 3s + 2}}$$

The steady state value of the output of the system for a unit impulse input applied at time instant $$t=1$$ will be