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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _update_dict(self, initial: JSON, other: Mapping) -> JSON: """Recursively update a dictionary. :param initial: Dict to update. :param other: Dict to update from. :return: Updated dict. """

        for key, value in other.items():
            if isinstance(value, collections.Mapping):
                r = self._update_dict(initial.get(key, {}), value)
                initial[key] = r
            else:
                initial[key] = other[key]
        return initial