Using a sample of about 10 billion J/ψ events with the BESIII detector, we search for the weak decays of J/ψ→D¯0π0+c.c., J/ψ→D¯0η+c.c., J/ψ→D¯0ρ0+c.c., J/ψ→D−π++c.c., and J/ψ→D−ρ++c.c.. Since no significant signal is observed, we set the upper limits of the branching fractions of these decays to be B(J/ψ→D¯0π0+c.c.)<4.7×10−7, B(J/ψ→D¯0η+c.c.)<6.8×10−7, B(J/ψ→D¯0ρ0+c.c.)<5.2×10−7, B(J/ψ→D−π++c.c.)<7.0×10−8, and B(J/ψ→D−ρ++c.c.)<6.0×10−7 at the 90% confidence level. Published by the American Physical Society 2024