56.1.58 problem 58

Internal problem ID [8770]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 58
Date solved : Monday, January 27, 2025 at 04:48:43 PM
CAS classification : [[_homogeneous, `class C`], _dAlembert]

\begin{align*} y^{\prime }&=-4 \sin \left (x -y\right )-4 \end{align*}

✓ Solution by Maple

Time used: 0.030 (sec). Leaf size: 21

dsolve(diff(y(x),x)=4*sin(y(x)-x)-4,y(x), singsol=all)
 

\[ y = x +2 \arctan \left (\frac {3 \tan \left (-\frac {3 x}{2}+\frac {3 c_{1}}{2}\right )}{5}+\frac {4}{5}\right ) \]

✗ Solution by Mathematica

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

DSolve[D[y[x],x]==4*Sin[y[x]-x]-4,y[x],x,IncludeSingularSolutions -> True]
 

Timed out