grepl with regex

I have a difficulty using grepl with regex.

Here is a small example:

I have a character vector:

text <- c(

  "D_Purpose__Repairs" ,
  "Age" ,
  "F_Job"  
)

And I want to select the words that start with D_ or F_. So I write:

grepl("\\>D_.+ | \\>F_.+", text)

grepl("\\D_.+ | \\F_.+", text)

grepl("\\^D_.+ | \\^F_.+", text)

However this returns:

[1] FALSE FALSE FALSE

Could you help me understand what I am doing wrong and how should I correct my code?

Your advice will be appreciated.