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#1 2021-05-04 15:39:50

mathland
Member
Registered: 2021-03-25
Posts: 444

Show y" + y = 0

If y = A sin t + B cost, where A and B are constants,
show that y"+ y = 0.

Must I find the first and second derivative of y and then add to
A sin (t) + B cos(t)?

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#2 2021-05-04 18:50:31

zetafunc
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Registered: 2014-05-21
Posts: 2,432
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Re: Show y" + y = 0

Yes, you need to find the second derivative and then add that to y.

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#3 2021-05-04 23:44:26

mathland
Member
Registered: 2021-03-25
Posts: 444

Re: Show y" + y = 0

zetafunc wrote:

Yes, you need to find the second derivative and then add that to y.

Very good. I get emotional with correct about a question I've never seen before.

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