David,
dont' you see some kind of a contradiction when reading the following two statements?
"I will be very much grateful if you can help solve this problem of mine."
vs.
"You are to undertake this assignment individually, ... However, the final submission must be your own work."
If you have some spare time I strongly recommend to look up the words "plagiarism" and "copyright".
What I'd really like to know: What is your intention to ask someone else to do your (home)work even if you're asked to provide your own solution?
How much do you respect a result someone else came up with (not limited to the given situation)? Do you immediately "sell" it as your own work?
Please share your motivation.