75.4.20 problem 85

Internal problem ID [16722]
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
Date solved : Tuesday, January 28, 2025 at 09:19:37 AM
CAS classification : [_quadrature]

\begin{align*} \cos \left (y^{\prime }\right )&=0 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 10

dsolve(cos(diff(y(x),x))=0,y(x), singsol=all)
 

\[ y = \frac {\pi x}{2}+c_{1} \]

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 27

DSolve[Cos[D[y[x],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*}