Idea
The sound of your heart gives me an idea. The methodic thump thump thumping of a heart puts me in a trance that gives me great ideas. It’s a very inspirational sound, the sound of a heart is. It gives me an idea.
Alternatively, you could look at this kanji and see a "stand" radical and something that kind of (almost) looks like the kanji for "think." When you stand up and think, you come up with your very own ideas!
い
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The heart of an eagle (い) is very strong. The person who knew this probably came up with the idea to make the bald eagle a symbol of the United States. Eagles are always flying around and doing things, so their hearts are very strong.