GATE EC 2025 Set 1 Q33 — BJT and MOSFET Amplifiers

The identical MOSFETs $M_{1}$ and $M_{2}$ in the circuit given below are ideal and biased in the saturation region. $\mathrm{M}_{1}$ and $\mathrm{M}_{2}$ have a transconductance $g_{m}$ of $5$ mS.

The input signals (in Volts) are:
$$\begin{array}{l} V_{1}=2.5+0.01 \sin \omega t \\ V_{2}=2.5-0.01 \sin \omega t \end{array}$$

The output signal $V_{3}$ (in Volts) is $\_\_\_\_\_\_$