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2nd order diff eqn.

Guest juliantrott
Guest juliantrott
in Analysis and Calculus

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Hi all -

 

I'm crap at this stuff but I desperately need to solve this one:

 

d^2y/dt^2 = d^2y/dr^2 + (1/r)dy/dr

 

I need to obtain an expression y(t,r). If anyone can help or at least direct me to some easy to follow tutorial you'll make of me a happy man.

 

Peace all

J

I'm presuming you mean partials instead of d's above, otherwise that wouldn't make much sense :)

 

Other than that, it's not a very easy equation to solve. It might be possible (I've not done PDEs for a while), but it looks good because the left and right hand sides are independent of each other, so I think you can set the left hand side = right hand side = constant. As I said, I've not done this for a while though and I could be hugely wrong. Also, that doesn't seem to help very much with the RHS, because that's non-linear. woohoo.

 

My 2 cents worth.

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