Internal
problem
ID
[6678]
Book
:
Schaums
Outline.
Theory
and
problems
of
Differential
Equations,
1st
edition.
Frank
Ayres.
McGraw
Hill
1952
Section
:
Chapter
9.
Equations
of
first
order
and
higher
degree.
Supplemetary
problems.
Page
65
Problem
number
:
29
Date
solved
:
Monday, January 27, 2025 at 02:20:50 PM
CAS
classification
:
[[_1st_order, _with_linear_symmetries], _dAlembert]
✓ Solution by Maple
Time used: 0.020 (sec). Leaf size: 36
dsolve(y(x)=(1+diff(y(x),x))*x+diff(y(x),x)^2,y(x), singsol=all)
✓ Solution by Mathematica
Time used: 2.436 (sec). Leaf size: 177
DSolve[y[x]==(1+D[y[x],x])*x+D[y[x],x]^2,y[x],x,IncludeSingularSolutions -> True]