How to redirect stdout and stderr to different files in DOS?

Question

Lots of questions and answers on putting these in the same file or redirecting to the same place; not a lotta love for putting them in different files.

I want to run my console app:

C:\>foo -option >stdout.txt 2>stderr.txt

...or something along those lines, where normal output goes to stdout.txt and error output goes to stderr.txt.