- #1

- 65

- 1

R'' + (1/r)*R' + (alfa/k)*R = 0

(alfa, k are constants)

I couldn't find material on the web for non-constant coefficients, does anyone know how to solve this?

thanks

- Thread starter Yoni
- Start date

- #1

- 65

- 1

R'' + (1/r)*R' + (alfa/k)*R = 0

(alfa, k are constants)

I couldn't find material on the web for non-constant coefficients, does anyone know how to solve this?

thanks

- #2

phyzguy

Science Advisor

- 4,741

- 1,674

Try re-scaling your r-coordinate to a new coordinate:

[tex]r' = r\sqrt{\alpha/k}[/tex]

This will get rid of the constants. Then this becomes Bessels' equation. Go here:

http://en.wikipedia.org/wiki/Bessel_function

[tex]r' = r\sqrt{\alpha/k}[/tex]

This will get rid of the constants. Then this becomes Bessels' equation. Go here:

http://en.wikipedia.org/wiki/Bessel_function

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