Internal
problem
ID
[5568]
Book
:
Ordinary
differential
equations
and
their
solutions.
By
George
Moseley
Murphy.
1960
Section
:
Various
33
Problem
number
:
992
Date
solved
:
Monday, January 27, 2025 at 12:06:38 PM
CAS
classification
:
[[_homogeneous, `class A`], _dAlembert]
✓ Solution by Maple
Time used: 0.107 (sec). Leaf size: 105
dsolve(3*y(x)^2*diff(y(x),x)^2-2*x*y(x)*diff(y(x),x)-x^2+4*y(x)^2 = 0,y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.574 (sec). Leaf size: 179
DSolve[3 y[x]^2 (D[y[x],x])^2 -2 x y[x] D[y[x],x]-x^2+4 y[x]^2==0,y[x],x,IncludeSingularSolutions -> True]