Hi,
You can implement this without RTOS, but it is not an easy work. I suggest to use an stack for this, for example LWIP that is included in LPCOpen.
LPCOpen is extensive collection of free software libraries (drivers and middleware) and example programs that enable developers to create multifunctional products based on LPC microcontrollers.
You can download it from the next link(LPCXpresso LPC1769 board):
LPCOpen Libraries and Examples|NXP
After download it you will find some examples that you can use as reference.
I hope this helps,
Have a great day,
Sol
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