"应你的要求" can be translated into English as "at your request" or "as per your request". Both expressions are commonly used to convey the idea of doing something in response to someone's specific demand or wish.
For example:
I've prepared the report at your request.（应你的要求，我已经准备好了报告。）
The changes were made as per your request.（应你的要求，已经做了这些更改。）