I don't think it is possible to call the non static method from the client side. If the non static method is in the same class or in the same page then you can call it else it should be used by the $.ajax call where you need to call it or it should be a web method.
Hope it will be helpful to you.
Pawan Awasthi(DNS MVM)
+91 8123489140 (whatsApp), +60 14365 1476(Malaysia)