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Thread: how to solve y''+(4i+1)y'+y=0?

  1. October 25th 2009, 08:47 AM #1
    iloveyou7
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    how to solve y''+(4i+1)y'+y=0?

    how to solve y''+(4i+1)y'+y=0?
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  2. October 25th 2009, 09:12 AM #2
    CaptainBlack
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    Quote Originally Posted by iloveyou7 View Post
    how to solve y''+(4i+1)y'+y=0?

    The same way you solve any linear constant coefficient homogeneous equation. Use a trial solution of the form y(x)=e^{\lambda x} get the characteristic equation which you solve, then the general solution is a linear combination of the solutions found this way (with the usual caveats for double roots).

    CB
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