Internal problem ID [6349]
Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 58.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_homogeneous, class C], _dAlembert]
Solve \begin {gather*} \boxed {y^{\prime }+4 \sin \left (x -y\right )+4=0} \end {gather*}
✓ Solution by Maple
Time used: 0.094 (sec). Leaf size: 21
dsolve(diff(y(x),x)=4*sin(y(x)-x)-4,y(x), singsol=all)
\[ y \relax (x ) = x +2 \arctan \left (\frac {3 \tan \left (-\frac {3 x}{2}+\frac {3 c_{1}}{2}\right )}{5}+\frac {4}{5}\right ) \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[x]==4*Sin[y[x]-x]-4,y[x],x,IncludeSingularSolutions -> True]
Timed out