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## Homework Statement

Solve ODE of form y''+(2/x)y'=C*(e^y) where C is a constant

## Homework Equations

## The Attempt at a Solution

I don't really see how to approach this one, so a point in the right direction would be great.

Thanks,

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- Thread starter jmz34
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- #1

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Solve ODE of form y''+(2/x)y'=C*(e^y) where C is a constant

I don't really see how to approach this one, so a point in the right direction would be great.

Thanks,

- #2

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- #3

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I was trying to solve del^2(Psi)=Ae^(Psi) in spherical polars, for the radial component.

Checking over my algebra I'm pretty sure it's correct.

- #4

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- #5

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Thanks alot for your help. The question does say that Psi varies over a length scale that is approximately the same as the region which I'm supposed to be analyzing. Does that somehow mean I can take the RHS as constant?

- #6

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And the C needs to be specified, the sign of it is important. You may rescale it to +1 or -1, I'm sure.

As for how to solve the following 2 ode's

[tex] y''+ \frac{2}{x}y'\pm y = 0 [/tex]

use the substitution

[tex] y(x) = \frac{u(x)}{x} [/tex]

You'll find 2 classes of solutions, depending on the sign of the rescaled constant.

- #7

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Ofcourse. Thanks again.

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