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Singular homogeneous solution of the Lane-Emden equation
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Area of mathematics
Analysis
Nonlinear analysis
Emden-Fowler transformation
Lane-Emden equation
Generalized Lane-Emden equation
Created
2026-09-24
Updated
2026-10-14
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When
a
=
2/
(
p
−
1
)
and
a
<
d
−
2
, the
Lane-Emden equation
has the singular scale-invariant solution
u
∞
(
r
)
=
(
a
(
d
−
2
−
a
)
)
1/
(
p
−
1
)
r
−
a
.
(1)
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(8)
Generalized Lane-Emden equation
Lane-Emden equation
Emden-Fowler transformation
Nonlinear analysis
Analysis
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2026
/
iii
/
Paper 154
/
1
/
1
/
3
/
Solution
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