75.1.8 problem 9

Internal problem ID [16671]
Book : A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV, G.I. MARKARENKO. MIR, MOSCOW. 1983
Section : Section 1. Basic concepts and definitions. Exercises page 18
Problem number : 9
Date solved : Tuesday, January 28, 2025 at 09:17:34 AM
CAS classification : [`y=_G(x,y')`]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

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

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

Not solved