60.1.118 problem 121

Internal problem ID [10132]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 121
Date solved : Wednesday, March 05, 2025 at 08:32:52 AM
CAS classification : [`y=_G(x,y')`]

\begin{align*} x y^{\prime }-\sin \left (-y+x \right )&=0 \end{align*}

✗ Maple

ode:=x*diff(y(x),x)-sin(x-y(x)) = 0; 
dsolve(ode,y(x), singsol=all);
 

\[ \text {No solution found} \]

✗ Mathematica

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

Not solved

✗ Sympy

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

NotImplementedError : The given ODE Derivative(y(x), x) - sin(x - y(x))/x cannot be solved by the factorable group method