4.24 problem 89

Internal problem ID [14996]

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: 89.
ODE order: 1.
ODE degree: 0.

CAS Maple gives this as type [_quadrature]

\[ \boxed {\tan \left (y^{\prime }\right )=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 5

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

\[ y = c_{1} \]

Solution by Mathematica

Time used: 0.109 (sec). Leaf size: 7

DSolve[Tan[y'[x]]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 \]