The YouTube app was discontinued on iOS 5.1 due to compatibility issues. The app requires a minimum of iOS 6.0 to run, which is not compatible with your device.
Once installed, you can launch the YouTube app on your iOS 5.1 device. Please note that the app might not receive updates or work perfectly due to compatibility issues.
: Installing IPA files from third-party sources can pose security risks. Be cautious when downloading IPA files and only use trusted sources.