Problem $1.$ The two switches in the circuit seen below operate synchronously. When switch $1$ is

in position a$,$ switch $2$ is in position d$.$ When switch $1$ moves to position b$,$ switch $2$

moves to position c$.$ Switch $1$ has been in position for a long time. At t $=0,$ the

switches move to their alternate positions. Find vo$($t$)$ for $0.$

Answer: $1402000+2008000,0.$