Samsung washing machine model wa13v5 stop using cold water use only hot water press button for cold water but still hot water thx

Try a power reset.

Disconnect from the mains socket.
Wait 15 minutes.
Press and hold Power Button for 1 minute.
Plug back in.

https://www.google.com/search?q=samsung+wa12v5+unresponsive

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repair shop or online search

probably a blocked or faulty drain pump

yes
it is connected to the bottom of the tub by a small hose
it sits up top and as the tub fills , air pressure acts against a preset spring tension and switches the water solenoids off at the same time it starts the wash
the problem is probably the water inlet solenoid / valve that is not working or the diaphragm is split
to test , change over the cold and hot water hoses at the taps and press the hot water button
if the flow stops at the required setting it is the cold water valve unit

replace inlet valve

Check that your drain hose hooked portion is above the maximum water level of your washer.

you will find the solenoid is probably faulty and shorted out that part of the module, cheapest fix is to swap the hoses over at the taps and then select hot wash and cold water will come through the hot solenoid

The seals in the bottom of the drum where it connects to the gear box is going bad. Changing them out is something that you can do but it is not easy. You pull off the top cap on the agitator and then take off the nut and lift the agitator out, then you can see the seals.

solenoid valve for hot water may be stuck or faulty. If you have a cold water supply, you may be able to run the machine using only cold water, turn off the hot water and keave cold on, see what happens.

consult your owner manual about you are unsure about if the machine is acting anormally
Some machines, is running hot water during cycles, other cold water during cycles.

God bless you