This app can't run on your PC
cd C:\cygwin
cd C:\cygwin\setup-x86_64.exe -q -P wget -P gcc-g++ -P make -P diffutils -P libmpfr-devel -P libgmp-devel -P libmpc-devel
The above command makes no sense. It shouldn't start with cd as you are already in the correct directory.
Try the following commands (which work here):
cd C:\cygwin
setup-x86_64.exe -q -P wget -P gcc-g++ -P make -P diffutils -P libmpfr-devel -P libgmp-devel -P libmpc-devel
Note:
This assumes you have a 64 bit version of Windows.
If you have a 32 version of Windows you need to download the 32 bit version of Cygwin, which has a different installer.
The most recent version of the Cygwin DLL is 2.5.0. Install it by running setup-x86.exe (32-bit installation) or setup-x86_64.exe (64-bit installation).
Source This is the home of the Cygwin project