Internal problem ID [14992]
Book: A book of problems in ordinary differential equations. M.L. KRASNOV, A.L. KISELYOV,
G.I. MARKARENKO. MIR, MOSCOW. 1983
Section: Section 4. Equations with variables separable and equations reducible to them. Exercises
page 38
Problem number: 85.
ODE order: 1.
ODE degree: 0.
CAS Maple gives this as type [_quadrature]
\[ \boxed {\cos \left (y^{\prime }\right )=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve(cos(diff(y(x),x))=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {\pi x}{2}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 27
DSolve[Cos[y'[x]]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\frac {\pi x}{2}+c_1 \\ y(x)\to \frac {\pi x}{2}+c_1 \\ \end{align*}