"The boy likes this music."
Translation:Мальчику нравится эта музыка.
why is музыка in nominative form in this sentence when using нравится and accusative when using любит?
With любить, the thing that likes is the subject, the thing that is liked is the direct object. Like in English - "I like music". With нравиться, the thing that is liked is the subject while the thing that likes is the indirect object. More like English - "music is pleasing to me".