How to determine a windows executables DLL dependencies programmatically?

How to determine what DLL's a binary depends on using programmatic methods?

To be clear, I am not trying to determine the DLL dependencies of the running exec, but of any arbitrary exec (that may be missing a required DLL). I'm looking for a solution to implement in a C/C++ application. This is something that needs to be done by my application at runtime and can't be done by a third party app (like depends).