I am trying to get my first taste of Android development using Eclipse. I ran into this problem when trying to run Eclipse, having installed version 4.2 only minutes ago.
I had the same issue, Java was started but returned exit code=13.
My solution was to create an environment variable to Windows properties variable name = PATH variable value = C:\Program Files\Java\jdk1.7.0_02\bin, not to C:\Program Files (x86)\Java\jre7\bin.
Next I added a line to file eclipse.ini
→ C:\Program Files\Java\jdk1.7.0_02\bin\javaw.exe.
That worked for me.