1.8 problem 9

Internal problem ID [14941]

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.
ODE order: 1.
ODE degree: 1.

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

\[ \boxed {y^{\prime }-\sin \left (y\right )=-\cos \left (x \right )} \]

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: 0.0 (sec). Leaf size: 0

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

Not solved