75.4.24 problem 89

Internal problem ID [16726]
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
Date solved : Tuesday, January 28, 2025 at 09:19:40 AM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 5

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

\[ y = c_{1} \]

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 7

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

\[ y(x)\to c_1 \]