The integral surface of the PDE yp + xq = x2 + y2 passing through the curve x = t, y = t + 1, z =  t2 is

1
x2 - y2 + 2xy - 2z + 1 = 0
2
x2 + y2 - 2xy - 2z + 1 = 0
3
x2 - y2 + 2xy + 2z - 1 = 0
4
x2 - y2 - 2xy - 2z + 1 = 0
5
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