Chosen Solution

my old macbook air show blue colour only, even if i plug it to external display, its only show white and black colour.

its that because GPU fali r smothing else? Update (09/28/2019) when I try to plug to externadl display its show like this

after login its, become like this

At this point you’ll need to check your logic board displays connection. The LVDS connection may have corrosion damage and/or the cable is damaged or the display its self. I would also try an external display to see what it shows. Follow this guide MacBook Air Models A1237 and A1304 Display Assembly Replacement to Step 3 then jump to Step 23 disconnecting the cable and inspecting the connectors for damage. Given the age of this system it maybe time to upgrade to a newer system (used or new).