85.6.2 problem 4 (a)

Internal problem ID [22452]
Book : Applied Differential Equations. By Murray R. Spiegel. 3rd edition. 1980. Pearson. ISBN 978-0130400970
Section : Chapter 1. Differential equations in general. Section 1.3. C Exercises at page 22
Problem number : 4 (a)
Date solved : Sunday, October 12, 2025 at 05:52:22 AM
CAS classification : [_sym_implicit]

\begin{align*} {| y^{\prime }|}+1&=0 \end{align*}

✓ Maple. Time used: 0.003 (sec). Leaf size: 13

ode:=abs(diff(y(x),x))+1 = 0; 
dsolve(ode,y(x), singsol=all);
 

\[ y = \operatorname {RootOf}\left ({| \textit {\_Z} |}+1\right ) x +c_1 \]

✗ Mathematica

ode=Abs[D[y[x],{x,1}]]+1==0; 
ic={}; 
DSolve[{ode,ic},y[x],x,IncludeSingularSolutions->True]
 

{}

✗ Sympy

from sympy import * 
x = symbols("x") 
y = Function("y") 
ode = Eq(Abs(Derivative(y(x), x)) + 1,0) 
ics = {} 
dsolve(ode,func=y(x),ics=ics)
 

AssertionError :