Internal
problem
ID
[13559]
Book
:
Differential
Equations
by
Shepley
L.
Ross.
Third
edition.
John
Willey.
New
Delhi.
2004.
Section
:
Chapter
4,
Section
4.5.
The
Cauchy-Euler
Equation.
Exercises
page
169
Problem
number
:
29
Date
solved
:
Tuesday, January 28, 2025 at 05:52:57 AM
CAS
classification
:
[[_2nd_order, _with_linear_symmetries]]
✓ Solution by Maple
Time used: 0.003 (sec). Leaf size: 17
dsolve((2*x-3)^2*diff(y(x),x$2)-6*(2*x-3)*diff(y(x),x)+12*y(x)=0,y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.038 (sec). Leaf size: 24
DSolve[(2*x-3)^2*D[y[x],{x,2}]-6*(2*x-3)*D[y[x],x]+12*y[x]==0,y[x],x,IncludeSingularSolutions -> True]