Internal
problem
ID
[11675]
Book
:
Differential
Gleichungen,
E.
Kamke,
3rd
ed.
Chelsea
Pub.
NY,
1948
Section
:
Chapter
6,
non-linear
second
order
Problem
number
:
1677
(book
6.86)
Date
solved
:
Tuesday, January 28, 2025 at 06:07:22 PM
CAS
classification
:
[[_2nd_order, _with_linear_symmetries]]
✓ Solution by Maple
Time used: 0.085 (sec). Leaf size: 75
dsolve(x^2*diff(diff(y(x),x),x)+a*(x*diff(y(x),x)-y(x))^2-b*x^2=0,y(x), singsol=all)
✓ Solution by Mathematica
Time used: 120.231 (sec). Leaf size: 118
DSolve[-(b*x^2) + a*(-y[x] + x*D[y[x],x])^2 + x^2*D[y[x],{x,2}] == 0,y[x],x,IncludeSingularSolutions -> True]