8.2 problem 207

Internal problem ID [2955]

Book: Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section: Various 8
Problem number: 207.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [y=_G(x,y')]

Solve \begin {gather*} \boxed {y^{\prime } x -\sin \left (x -y\right )=0} \end {gather*}

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: 0.0 (sec). Leaf size: 0

DSolve[x y'[x]==Sin[x-y[x]],y[x],x,IncludeSingularSolutions -> True]
 

Not solved