Internal
problem
ID
[13295]
Book
:
Differential
Equations
by
Shepley
L.
Ross.
Third
edition.
John
Willey.
New
Delhi.
2004.
Section
:
Chapter
2,
section
2.2
(Separable
equations).
Exercises
page
47
Problem
number
:
6
Date
solved
:
Tuesday, January 28, 2025 at 05:16:19 AM
CAS
classification
:
[_separable]
✓ Solution by Maple
Time used: 1.632 (sec). Leaf size: 29
dsolve((exp(v(u))+1)*cos(u) + exp(v(u))*(1+sin(u))*diff(v(u),u)=0,v(u), singsol=all)
✓ Solution by Mathematica
Time used: 2.356 (sec). Leaf size: 64
DSolve[(Exp[v[u]]+1)*Cos[u] + Exp[v[u]]*(1+Sin[u])*D[ v[u],u]==0,v[u],u,IncludeSingularSolutions -> True]