A crazed stranger shoved a 65-year-old woman onto Bronx subway tracks in an unprovoked attack Thursday afternoon – and later walked into a psychiatric clinic admitting what he’d done, cops and sources said.

The victim was standing on the northbound No. 5 train platform at East 180th Street and Morris Park Avenue in Van Nest around 1:40 p.m. when the menace silently approached her from behind and shoved her onto the roadbed, police said.

A quick-thinking bystander flagged down cops — who halted their station inspection duties to help the victim back up onto the platform with only a knee injury, law enforcement sources said.

She was taken to St…

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