You did the right thing, and you KNOW you did the right thing. Just because HE lays the blame on you for his predicament, doesn't mean you have to accept that blame. He knows you love and care for him, which is the string he pulls to manipulate you.
But remember, it was the doctor who had him hospitalized, not you. He's not getting medical care? What kind does he think he needs at this point? I'm sure the nurses aren't going to wait on him hand and foot and give him back rubs with meals in bed! (Humor)
The fact that it's an involuntary commitment, is a blessing. It takes YOU out of the picture. You can't control it, but HE can. When he gets with the program and cooperates, they'll discuss it.
In the meantime, rest and quit beating up on yourself while he's away. Treat your self like your best friend who's going thru a tough time right now. Take yourself out for a bite to eat, buy yourself some flowers, run a bubble bath light some candles...whatever it is that feels truly special to you. You can even set the table with a cloth and candles and eat your burger by candle light...Get the drift?