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MarcoB
MarcoB
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I have an ODE

V''[z] + ( (I z0^2 w)/(3 (z - z0)^2) + (
 2 - (4 I z0 w)/9)/(z - z0)) V'[
z]V'[z] + 
 (-(12/41) I z0 w + (23 z0^2 w^2)/
 369)/(z - z0)^2 V[z]����V[z] == 0;0

MathematicaMathematica can solve this exactly. But I just need the asymptotic behavior of the solution near z=z0z = z0. I have tried Series near z=z0z = z0. But, but the solution still looks messy. Is there any way to directly obtain the asymptotic behavior in MathematicaMathematica?

(May be a very elementary question. Sorry about that.)

I have an ODE

V''[z] + ( (I z0^2 w)/(3 (z - z0)^2) + (
 2 - (4 I z0 w)/9)/(z - z0)) V'[
z] + (-(12/41) I z0 w + (23 z0^2 w^2)/
 369)/(z - z0)^2 V[z]���� == 0;

Mathematica can solve this exactly. But I just need the asymptotic behavior of the solution near z=z0. I have tried Series near z=z0. But the solution still looks messy. Is there any way to directly obtain the asymptotic behavior in Mathematica?

(May be a very elementary question. Sorry about that.)

I have an ODE

V''[z] + ( (I z0^2 w)/(3 (z - z0)^2) + (2 - (4 I z0 w)/9)/(z - z0)) V'[z] + 
 (-(12/41) I z0 w + (23 z0^2 w^2)/369)/(z - z0)^2 V[z] == 0

Mathematica can solve this exactly. But I just need the asymptotic behavior of the solution near z = z0. I have tried Series near z = z0, but the solution still looks messy. Is there any way to directly obtain the asymptotic behavior in Mathematica?

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Physics Moron
Physics Moron
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Asymptotic solution

I have an ODE

V''[z] + ( (I z0^2 w)/(3 (z - z0)^2) + (
 2 - (4 I z0 w)/9)/(z - z0)) V'[
z] + (-(12/41) I z0 w + (23 z0^2 w^2)/
369)/(z - z0)^2 V[z]���� == 0;

Mathematica can solve this exactly. But I just need the asymptotic behavior of the solution near z=z0. I have tried Series near z=z0. But the solution still looks messy. Is there any way to directly obtain the asymptotic behavior in Mathematica?

(May be a very elementary question. Sorry about that.)