thanks for answering back with your computer info and the rollback.
there's a couple of things it could be, but I went to the Dell support page for your laptop, and it definitely states that it's Win10 upgrade compatible, even though the OS isn't listed for Win10. That's ok as Microsoft has publicly declared that for the next year or so, that all Win10 OS upgrades will continue to use Win8.1 hardware drivers, which your laptop does support and is listed.
What I might suggest is to check your laptop BIOS version. This is the pre-programmed chip on the main Motherboard inside your laptop. Dell support site says it's latest BIOS update is Ver. A08; Jan. 24, 2014. If your BIOS is older such as ver. A07 or A03 or something, you might benefit from doing the upgrade. A couple of warnings on doing this yourself however.
#1: If you've never done a BIOS flash upgrade before, I don't recommend you try it yourself, rather pay a Computer Pro to do it for you. It's a very high-risk procedure, and if you do it wrong, you can brick your Motherboard!!!
#2: If you have done a BIOS flash upgrade before, I also recommend you FIRST BACKUP ALL YOUR PERSONAL DATA SUCH AS DOCUMENTS, PHOTOS, MUSIC, VIDEOS, EMAILS, ETC. TO EXTERNAL MEDIA BEFORE ATTEMPTING TO FLASH YOUR BIOS!!!!
#3: It's very important to unplug any and all external USB storage devices when attempting to flash your BIOS, such as usb sticks, usb external hard drives, usb external dvd writers, etc.
Here's the direct link to the Dell support page to get the A08 BIOS flash update: http://www.dell.com/support/home/us/en/19/product-support/product/inspiron-15r-5537/drivers/advanced
Make sure to scroll down to the BIOS section, and click on the "+" or "plus" sign to view and download the file there.
The purpose of this would be to correct any anomalies that were found in the original factory BIOS Dell put into your laptop when it was new-in-box. If you do decide to flash the BIOS yourself or pay to have it done, you can then repeat the Win10 upgrade and see if the Airplane Mode problem abates; which I hope it would. If so, please post back your result if fixed to share with other forum users here.
Best of luck,
Edited by BIGBEARJEDI, 12 August 2015 - 10:25 PM.