Circuit Challenge 11

Consider the circuit shown below.

Initial Conditions
All three voltage sources are at 0V, and have been at 0V for a long time.
The capacitor is completely discharged, and has been discharged for a long time.
There is no current flowing in any circuit element, nor is any current changing.

The Event
At t=0 voltage source V1 ramps positive at 5V/s
At t=0 voltage source V3 steps from 0V to 5V

The Challenge
Determine the behaviour of voltage source V2 so that Node X remains at 0V (i.e., becomes a virtual ground).
You may compare your solution with what you find 
here.