2012 Honda Civic, 165k miles. Been having a lot of hesitation off the line (picking up speed from a stop). When slowing down from 5mph to 0mph, and while stopped, my idle is rough and "earthquakey" in bursts.  
  On cold starts my car idles rough and feels like a pulsating feeling like the car's going to die. RPMs on cold start are 1500 and take 10minutes to drop to 800.  
  No codes, shifting is smooth. Any ideas?
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Hesitation and pulsing rough idle on cold start?