Find the differential equations of the space curve in which the two families of surfaces:
and
intersect.
We are given two families of surfaces defined by the equations: 1. \( u = x^2 + y^2 + 3z = c_1 \) 2. \( v = zx + x^2 + y^2 = c_2 \) To find the differential equations of the space curve where these two surfaces intersect, we need to eliminate the constants \( c_1 \) and \( c_2 ______ ___ _______ _________ __________ ___ ___.
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