29.8.2 problem 207

Internal problem ID [4807]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 8
Problem number : 207
Date solved : Monday, January 27, 2025 at 09:40:23 AM
CAS classification : [`y=_G(x,y')`]

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

✗ Solution by Maple

dsolve(x*diff(y(x),x) = sin(x-y(x)),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[x-y[x]],y[x],x,IncludeSingularSolutions -> True]
 

Not solved