My defrost is pumping hot air and heats up in a normal amount of time but the other day after a heavy snow my defrost blew snow and dust into the car. It formed a layer of ice on the inside of the windshield and put a layer of light snow on my dash. It eventually melted it all away but now the inside of my windshield is really dirty and there is a layer of dirt/dust on the dash. Not a huge deal to me other than the fact that I have to wipe off the dash every time I defrost now but if it is a simple/cheap fix I could use the help here. Thanks!

 

Check you cabin filter.