Internal
problem
ID
[2932]
Book
:
Differential
Equations
by
Alfred
L.
Nelson,
Karl
W.
Folley,
Max
Coral.
3rd
ed.
DC
heath.
Boston.
1964
Section
:
Exercise
8,
page
34
Problem
number
:
20
Date
solved
:
Monday, January 27, 2025 at 06:58:41 AM
CAS
classification
:
[_exact]
✓ Solution by Maple
Time used: 0.011 (sec). Leaf size: 18
dsolve((x/y(x)*cos(x/y(x))+sin(x/y(x))+cos(x) )-x^2/y(x)^2*cos(x/y(x))*diff(y(x),x)=0,y(x), singsol=all)
✓ Solution by Mathematica
Time used: 18.894 (sec). Leaf size: 25
DSolve[(x/y[x]*Cos[x/y[x]]+Sin[x/y[x]]+Cos[x] )-x^2/y[x]^2*Cos[x/y[x]]*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]