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Math Help - differencial equation

  1. #1
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    differencial equation

    Find all values of k for which the function y=sin(kt) satisfies the differential equation y"+10y=0. Separate your answers by commas.

    thanks for any help.
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  2. #2
    Moo
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    Hello,

    y'=k*cos(kt)

    y''=-kČ*sin(kt)

    y''+10y=0 <=> -kČ*sin(kt)+10sin(kt)=0 <=> 10=kČ <=> k=\{\sqrt{10},-\sqrt{10}\}
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  3. #3
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    the answers provided didn't seem to work. thanks for the help
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  4. #4
    Moo
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    Well, k=0 is also a solution, as y will be equal to 0.
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  5. #5
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    awsome, that helped me out (I'm working on the same stuff with waite)
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  6. #6
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    that was it. they were right thanks a lot for the help
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