Science Buddies: "Ask an Expert"

Hi guys!
I don't know if I wrote in the correct section, but I had a problem solving one example. I will be very glad if you tell me how best to solve it or where you can find similar examples.
y′′-10y′+17y = 8e^8t
y = ?
Thanks in advance for your help and I apologize if I posted this in the wrong place.

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