Step 1: Condition for liberation of hydrogen gas.
An ion can reduce dilute acid to liberate hydrogen gas if it is a strong reducing agent.
Such ions must have highly negative reduction potentials so that they can reduce:
\[
H^+\rightarrow H_2
\]
Step 2: Analyze \(Ti^{2+}\).
\[
Ti^{3+}+e^-\rightarrow Ti^{2+}
\]
The \(Ti^{2+}\) ion is a strong reducing agent and readily gets oxidized to:
\[
Ti^{3+}
\]
Hence, it can reduce dilute acids to liberate hydrogen gas.
Step 3: Analyze \(Cr^{2+}\).
\[
Cr^{3+}+e^-\rightarrow Cr^{2+}
\]
\(Cr^{2+}\) is also a strong reducing agent and reduces:
\[
H^+
\]
to:
\[
H_2
\]
Step 4: Analyze remaining ions.
\[
Mn^{3+}
\]
and
\[
Co^{3+}
\]
are oxidizing rather than reducing ions.
Hence, they cannot liberate hydrogen gas from dilute acids.
Step 5: Final conclusion.
Therefore, the ions that can reduce dilute acids to give hydrogen gas are
\[
\boxed{Ti^{2+},\ Cr^{2+}}
\]