Yes, you just need to copy and paste the ad unit code from your registered Adsense account into your website. It may be used for both your YouTube channel and your website. You do not need to create a separate application for the website.
However, make sure your website follows Adsense standards; otherwise, you risk losing your account due to a violation of Google's Adsense guidelines.
However, make sure your website follows Adsense standards; otherwise, you risk losing your account due to a violation of Google's Adsense guidelines.