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Math Help - Changing the form of a second order DE to look like the Schrödinger equation

  1. #1
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    Nov 2009
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    Changing the form of a second order DE to look like the Schrödinger equation

    I ran into a predicament... I have the following equation:



    how can I convert it to a form that looks like:



    or of the form:

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  2. #2
    Super Member
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    Aug 2008
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    You can convert y''+Py'+Qy=0 into its normal form v''+Iv=0 by letting y=v\,\exp\left(-1/2\int Pdx\right)

    Got two references for you: "Intermediate Differential Equations" by Rainville and Handbook of Differential Equations by Zwillinger. Try and find them in the library.
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