How can i install MySQL on my system? I downloaded the latest free version but
when i try to install it, it says that it requires the .NET framework. How can i install it
for working with my java application?
That's what the Workbench is for. I don't remember it asking for .NET installation, but that's perhaps because it's already installed in my system. It just needs the .NET distributable binaries - the latest one is here. As far as I know (but not sure), .NET versions are cumulative, so you don't need to install earlier versions, though workbench may be expect them.
Alternatively, you can use an eclipse plugin like "SQL Explorer". Personally, I find the workbench itself more convenient.