I have

(D^2theta/ds^2)+((2/s)dtheta/ds)+((k^2)/s)theta=0

I am asked to make the subtitution x=2k*sqrt(s) in order to get the above in terms of theta and x.

How do i do this?

Printable View

- April 15th 2010, 07:04 AMLooNiEHelp substituting !
I have

(D^2theta/ds^2)+((2/s)dtheta/ds)+((k^2)/s)theta=0

I am asked to make the subtitution x=2k*sqrt(s) in order to get the above in terms of theta and x.

How do i do this? - April 15th 2010, 10:25 AMAllanCuz
I'm assuming you mean,

edit- Mulligen, I think i violated some rules here...1 momento

I'm not entirely sure off the bat where to go with this. But let us try some manipulation.

Noting that

Going with

Sub this into our original equation to get

Now we sub in

To get

And since I had no idea where to begin, I have run out of manipulations that I can think of. Hopefully this will prompt some of your own! - April 15th 2010, 10:46 AMLooNiE
Yes, that's what I meant.

- April 17th 2010, 06:24 PMAllanCuz
I'd like to see an answer to this if you guys wouldn't mind (Bow) I'll work on it more when i decide i need more of a break from exam studying.