Why is this capacitive circuit not working in both multisim and LTspice
The RC timeconstant is \$ \tau = R C\$

which is going to be 10uF*1GΩ= 10e-6*1e9=10000s

which means that the two seconds of time will not be near enough to see the changes in the voltage with such a large time constant.

The other problem is you have no starting condition, If you specify a voltage the simulator solves the operating point for those values, all the voltages will be settled. You need a step input so it starts the inital conditions at zero and then step the voltages. 

To fix this, increase the simulation time and use a step input as shown below (shown for one source) notice the time axis is in kiloseconds.