The hot water fills fine but the cold water just trickles in. The screen filters in the hoses are clear. Is there another screen filter on the cold water? Do I need a new inlet valve?

Turn the water supply off.
Remove the COLD water hose from the rear of the washer.
Clean the silt out of the COLD water valve on the washer.
Re-attach the hose on turn on the water supply.

Check the hose line filter on the cold water side remove from machine if clogged clean and replace if you don't have a screen filter in hoses and rust or iron gets into water valve you may have to replace valve

The hot and cold water supply hoses that connect the washer from the water supply faucets on the wall to the water connections on the back of the clothes washer usually have filter / sediment screens within there connection fittings at the end of the hoses, these will collect dirt,sand, calcium deposits, etc.,when they trap enough of these materials they will plug up and restrict the flow of water into the clothes washer. Turn off the water faucets at the wall, and you should do this for both hot and cold hoses, disconnect the hoses from the washer and the water faucets, look into the hose ends and pull out the screens and clean them out by running water and what ever you can use to clean them completely!!!!!
Now look inside the water connections on the back of the clothes washer,where you screw the hoses on the washer, and check to see if there are filter screens in there, if there is, remove them and clean out completely also, then reverse the removal process and reconnect the hoses, makeing sure to connect the hot and cold hoses to the right connection on the back of the clothes washer!!
Try filling the washer with water to see if you have corrected the problem.
Make sure hot and cold hoses are correct on the back of the washer!!!!
GOOD LUCK !!!!!!

remove the cold water hose from the machine that is your service line feeding into it.
a screen in the inlet were the hose attaches to is probably clogged up

Check the filter trap on the back of the washer where the hot water fill hose connects to the inlet valve, you wil have to shut the hot water valve off first, then remove the hose at the washer and inspect the little filter screen thats in the valve where the hose screws onto the washer, it probably has trapped enough sediment to restrict the flow of hot water into the washer.
Good Luck !

I think the water inlet valve is nearly stopped up with sediment in the screen filter where the supply hose screws to the valve.Cut the water off at the hose and disconnect and look for the screen. The hot water usually doensn't do this because the water has time to settle everything out while it's in the hot water heater.

Do you fill the machine with hot water only?

If so, this is what I suspect. The filters in the inlet hoses on the back of the washer need cleaning. Remove the garden hose connectors, remove filter, clean, replace.

When filling with hot only you get a lot of pressure thru one hose. When you rinse, the best you can do pressure-wise is cold rinse -- but the cold water filter is going to be more clogged than the hot so it delivers less water.

When you use warm rinse, you get mediium pressure thru both lines, again less water than al hot on filling the machine.

If both solenoid coils check the same, you probably have a clogged supply hose. Check that the filter screens inside the hose (if present) and the fill valve inlet are clear of mineral buildup. Try switching the hot and cold supply lines to see if the trouble moves from cold to hot. If the cold still only trickles in, replace the fill valve.

There are filter screens where the supply hoses connect to the washer. On some brands there is a screen where the hose connects to the water valve at the wall. The screen is probably full of sediment.

There are 2 hoses. Hot and cold and if the nobs are not turned wide open then it will not give you the water like you want. Check to make sure that the hot water nob is turned to were the water should come out like the cold. If not that then check the water heater and see if it is set up the way it needs to be.
Nikki2913