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The solutions of a renormalized BCS equation are studied in three spacedimensions in $s$, $p$ and $d$ waves for finite-range separable potentials inthe weak to medium coupling region. In the weak-coupling limit, the present BCSmodel yields a small coherence length $\xi$ and a large critical temperature,$T_c$, appropriate for some high-$T_c$ materials. The BCS gap, $T_c$, $\xi$ andspecific heat $C_s(T_c)$ as a function of zero-temperature condensation energyare found to exhibit potential-independent universal scalings. The entropy,specific heat, spin susceptibility and penetration depth as a function oftemperature exhibit universal scaling below $T_c$ in $p$ and $d$ waves.Comment: 9 pages of LATEX and 5 post-script figures. Accepted in European  Physical Journal

Universal scaling in BCS superconductivity in three dimensions in non-s waves