Math CentralQuandaries & Queries


Question from Shih-ya, a student:

How do you solve y'' + y = 0

We can see at least two solutions right away, Shih-ya.

1. If y = 0, then y'' = 0.
2. If y = sin x, then y' = cos x, then y'' = -sin x.

To find the general solution you need two linearly independent solutions. Can you find two linearly independent solutions?

Stephen and Harley

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