We report a magnetic-resonance study of Gd-doped Eu2CuO4 single crystals. Cooling the samples in a magnetic field HFC, induces weak ferromagnetism (WF), with a strong out-of-plane anisotropy determined by the Dzyaloshinsky-Moriya (DM) interaction. In addition, there is in-plane anisotropy with an easy-axis parallel to the [110] crystal axis closest to HFC. An intense resonance mode is observed at the X band (9.5 GHz) when HFC is applied parallel to one of the 110 axes and the measuring field is rotated by 90°in the CuO2 plane. At the Q band (35 GHz), the in-plane resonance modes strongly depend on angle and temperature. We analyze the experimental results in terms of a phenomenological model for the magnetic free energy, which predicts a re...