Step 1: Recall the meaning of isoelectronic species.
Isoelectronic species are those species which contain the same number of electrons.
Step 2: Find the number of electrons in each ion.
Atomic number of europium:
\[
Eu=63
\]
For
\[
Eu^{2+}
\]
number of electrons is
\[
63-2=61
\]
Atomic number of gadolinium:
\[
Gd=64
\]
For
\[
Gd^{3+}
\]
number of electrons is
\[
64-3=61
\]
Thus,
\[
Eu^{2+}
\]
and
\[
Gd^{3+}
\]
contain equal number of electrons.
Step 3: Verify the remaining options.
For
\[
Pr^{3+}
\]
\[
59-3=56
\]
For
\[
Nd^{3+}
\]
\[
60-3=57
\]
Hence, they are not isoelectronic.
For
\[
Tb^{3+}
\]
\[
65-3=62
\]
For
\[
Dy^{2+}
\]
\[
66-2=64
\]
Not isoelectronic.
For
\[
Ce^{4+}
\]
\[
58-4=54
\]
which is not equal to electrons in
\[
Pr^{3+}=56
\]
Thus, these are also not isoelectronic.
Step 4: Final conclusion.
Therefore, the isoelectronic pair is
\[
\boxed{Eu^{2+},\,Gd^{3+}}
\]