Internal
problem
ID
[11417]
Book
:
Differential
Gleichungen,
E.
Kamke,
3rd
ed.
Chelsea
Pub.
NY,
1948
Section
:
Chapter
2,
linear
second
order
Problem
number
:
1413
Date
solved
:
Monday, January 27, 2025 at 11:20:20 PM
CAS
classification
:
[[_2nd_order, _with_linear_symmetries]]
✓ Solution by Maple
Time used: 0.153 (sec). Leaf size: 12
dsolve(diff(diff(y(x),x),x) = 1/x/(ln(x)-1)*diff(y(x),x)-1/x^2/(ln(x)-1)*y(x),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.033 (sec). Leaf size: 16
DSolve[D[y[x],{x,2}] == -(y[x]/(x^2*(-1 + Log[x]))) + D[y[x],x]/(x*(-1 + Log[x])),y[x],x,IncludeSingularSolutions -> True]