Internal
problem
ID
[13682]
Book
:
Differential
Equations
by
Shepley
L.
Ross.
Third
edition.
John
Willey.
New
Delhi.
2004.
Section
:
Chapter
12,
Sturm-Liouville
problems.
Section
12.1,
Exercises
page
596
Problem
number
:
7
Date
solved
:
Tuesday, January 28, 2025 at 05:55:06 AM
CAS
classification
:
[[_Emden, _Fowler], [_2nd_order, _linear, `_with_symmetry_[0,F(x)]`]]
With initial conditions
✓ Solution by Maple
Time used: 0.011 (sec). Leaf size: 5
dsolve([diff(x*diff(y(x),x),x)+lambda/x*y(x)=0,y(1) = 0, y(exp(Pi)) = 0],y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.039 (sec). Leaf size: 70
DSolve[{D[x*D[y[x],x],x]+\[Lambda]/x*y[x]==0,{y[1]==0,y[Exp[Pi]]==0}},{y[x]},x,IncludeSingularSolutions -> True]