Published: Jul 01, 2013 11:51 PM EDT

CAIRO (AP) - Egypt's military is giving the country's president and his opponents two days to reach an agreement. It's warning that it will intervene unless Islamist president Mohammed Morsi meets what it calls "the people's demands."
    
For a second day, hundreds of thousands of protesters have gathered in Cairo and elsewhere, calling on Morsi to step down. So far, Morsi has vowed to remain in his position.
    
In Cairo, many in the crowd in Tahrir Square broke into cheers on hearing the army's announcement, which was read on state TV. The statement seemed to fuel the flow of crowds into city squares around the country.
    
In one Nile Delta city, protesters chanted, "The people want to topple the regime."
    
The army statement didn't define the "people's demands" that must be met. But it strongly suggested that yesterday's gigantic anti-Morsi rallies expressed the desire of Egyptians. And that raised the likelihood that the military will insist on Morsi's departure.
    
But any move against Morsi would risk a backlash from his Islamist supporters.
    
Already, the military's presence in Cairo has increased at sensitive spots in the past two days.