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

**robotENGR** · February 17th 2010, 04:25 PM

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:

**shawsend** · February 18th 2010, 05:58 AM

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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