Problem $2$ Design a Schmitt Trigger so that a sinusoidal input of amplitude $10$ V and frequency $1$ Hz is converted into a binary digital signal with maximum and minimum voltage of $+/-5$ V and with low$/$high threshold voltages at $4$ V and at $-1$ V$,$ respectively. Namely, find values of VE$,$ R$1,$ and R$2$ with reference to the schematic of Lecture $12($op$-$amp with positive feedback loop$).($a$)$ Solve the circuit analytically using asuming the op$-$amp$$s behavior is ideal. $($b$)$ Verify the validity of your design found in part $($a$)$ by simulating the circuit in MultiSim Live