$($a$)$ For the two$-$member, three$-$node truss below obtain the global truss system of equations for the $x-y$ deflections at the nodes. You may start with the generic element $($member$)$ system of equilibrium equations given in the class notes.

$($b$)$ From the global truss system in $($a$),$ obtain the $22$ system of equations for the $x-y$ deflections at node $1$

$($c$)$ From the global truss system, obtain the equations for the reactions at nodes $2$ and $3.$