Why 2006 Honda that killed w no warning? Won't stay started,smok white

What is your question?

My car didn't give any warning ...my check engine light goes off and on from time to time...but no shaking ..rattling....oil light battery light nothn...was headed out my yard when it just killed tried to turn key over it attempted to making a little rattling noise then shuts back off ..tried to start it but it won't stay running.

What makes this problem better or worse?

Accelerating

How long has your 2006 Honda Accord had this problem?

2 days