60.1.120 problem 121

Internal problem ID [10134]
Book : Differential Gleichungen, E. Kamke, 3rd ed. Chelsea Pub. NY, 1948
Section : Chapter 1, linear first order
Problem number : 121
Date solved : Monday, January 27, 2025 at 06:29:22 PM
CAS classification : [`y=_G(x,y')`]

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

Solution by Maple

dsolve(x*diff(y(x),x) + sin(y(x)-x)=0,y(x), singsol=all)
 
\[ \text {No solution found} \]

Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

DSolve[x*D[y[x],x] + Sin[y[x]-x]==0,y[x],x,IncludeSingularSolutions -> True]
 

Not solved