A Building room cooling model given in the figure below as a thermal system. There is two room. All around room wall is insulated except the thick wall at the left side. Walls has different thermal resistance R value. $"$T$"$s represent temperature. if we use a cooler in room$0$ and assuming is input T$2,$ output is T$0($temperature of room$0),$ obtain equation of motion for this system.

NOTE: DON$$t USE AI TO SOLVE THE QUESTION