You can use the superposition principle to combine solutions obtained by separation of variables. For example, in Prob. 3.16 you found the potential inside a cubical box, if five faces are grounded and the sixth is at a constant potential V0 ; by a six-fold superposition of the result, you could obtain the potential inside a cube with the faces maintained at specified constant voltages V1, V2, ••• V6. In this way, using Ex. 3.4 and Prob. 3.15, find the potential inside a rectangular pipe with two facing sides (x = ±b) at potential V0 , a third (y =a) at vl. and the last (at y = 0) grounded.

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