Find v_1,\,v_2,\,and\,v_3 in the circuit below using nodal analysis:
My work so far:
I\,=\,\frac{v_1}{2\Omega},\,\,I_1\,=\,\frac{v_2}{4\Omega},\,\,I_2\,=\,\frac{v_3}{3\Omega},\,\,I_3\,=\,\frac{v_1\,-\,v_3}{6\Omega}
KVL @ loop1 => -I\,(2\Omega)\,+\,10\,V\,+\,I_1(4\Omega)\,=\,0...