Internal
problem
ID
[18611]
Book
:
A
short
course
on
differential
equations.
By
Donald
Francis
Campbell.
Maxmillan
company.
London.
1907
Section
:
Chapter
II.
Change
of
variable.
Exercises
at
page
20
Problem
number
:
3
Date
solved
:
Tuesday, January 28, 2025 at 12:04:02 PM
CAS
classification
:
[[_2nd_order, _missing_x]]
✓ Solution by Maple
Time used: 0.043 (sec). Leaf size: 91
dsolve((1+diff(y(x),x)^2)^(3/2)=r*diff(y(x),x$2),y(x), singsol=all)
✓ Solution by Mathematica
Time used: 0.641 (sec). Leaf size: 71
DSolve[(1+D[y[x],x]^2)^(3/2)==r*D[y[x],{x,2}],y[x],x,IncludeSingularSolutions -> True]