Internal
problem
ID
[19154]
Book
:
A
Text
book
for
differentional
equations
for
postgraduate
students
by
Ray
and
Chaturvedi.
First
edition,
1958.
BHASKAR
press.
INDIA
Section
:
Chapter
II.
Equations
of
first
order
and
first
degree.
Misc
examples
on
chapter
II
at
page
25
Problem
number
:
29
Date
solved
:
Tuesday, January 28, 2025 at 01:10:08 PM
CAS
classification
:
[[_homogeneous, `class A`], _rational, [_Abel, `2nd type`, `class B`]]
✓ Solution by Maple
Time used: 0.023 (sec). Leaf size: 17
dsolve(y(x)^2+x^2*diff(y(x),x)=x*y(x)*diff(y(x),x),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 2.070 (sec). Leaf size: 25
DSolve[y[x]^2+x^2*D[y[x],x]==x*y[x]*D[y[x],x],y[x],x,IncludeSingularSolutions -> True]