The only version of OS X you can upgrade to is OS X 10.7 Lion.
The older White MacBooks and MacBook Pros CANNOT run OS X 10.8 Mountain LIon OR 10.9 Mavericks.
I do not think your white MacBook is a 2010 model and I do not think it qualifies for OS X 10,9 Mavericks, either.
You need an aluminum model MB or MBP to run the latest OS X Mavericks.
To install Mavericks, you need one of these Macs:
- iMac (Mid-2007 or later)
- MacBook (13-inch Aluminum, Late 2008), (13-inch, Early 2009 or later)
- MacBook Pro (13-inch, Mid-2009 or later),
- MacBook Pro (15-inch or 17-inch, Mid/Late 2007 or later)
- MacBook Air (Late 2008 or later)
- Mac mini (Early 2009 or later)
- Mac Pro (Early 2008 or later)
- Xserve (Early 2009)
Your Mac also needs:
- OS X Mountain Lion, Lion, or Snow Leopard v10.6.8 already installed
- 2 GB or more of memory
- 8 GB or more of available space
Here is the link to purchasing a download code for downloading OS X 10.7 Lion from the Mac App Store.
Make sure your system meets the minimum hardware/software requirements.
OS X Lion system requirements
To use Lion, make sure your computer has the following:
- An Intel Core 2 Duo, Core i3, Core i5, Core i7, or Xeon processor
- Mac OS X v10.6.6 or later to install via the Mac App Store (v10.6.8 recommended); you can install without Mac OS X v10.6 by using an OS X Lion USB Thumb Drive, available on the Apple Online Store
- 7 GB of available disk space
- 2 GB of RAM
Make sure you backup all of your important data before embarking on a major OS upgrade/update.
This is to make sure you have copy of your Mac's hard drive in just something goes wrong during the system upgrade/update.