"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 fulfilling or responding to someone's specific demand or wish.
For example:
"The report was prepared at your request."(这份报告是应你的要求准备的。)
"We will arrange a meeting as per your request."(我们会应你的要求安排一次会议。)