Hi @tinobeatz
Here's the [https://dl.dell.com/content/manual38973999-latitude-3510-service-manual.pdf?language=en-us|service manual] for the laptop.
Go to the bottom of p.64 to view the procedure to remove/replace the display assembly.
There are different LCD panels available for the laptop as can be seen on this [https://www.parts-people.com/index.php?action=category&id=140&subid=1399&refine=filter_lcd-display-assembly|website].
To ensure that you're getting the same replacement panel search for the ''Dell part number'' (usually found somewhere on the back of the panel itself- after it is removed of course e.g. T1WD3 or H4V09 etc) to find suppliers that suit you best.