29.8.4 problem 209

Internal problem ID [4809]
Book : Ordinary differential equations and their solutions. By George Moseley Murphy. 1960
Section : Various 8
Problem number : 209
Date solved : Monday, January 27, 2025 at 09:40:31 AM
CAS classification : [_separable]

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

✓ Solution by Maple

Time used: 0.008 (sec). Leaf size: 12

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

\[ y \left (x \right ) = \arcsin \left (\frac {1}{c_{1} x}\right ) \]

✓ Solution by Mathematica

Time used: 12.191 (sec). Leaf size: 19

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

\begin{align*} y(x)\to \arcsin \left (\frac {e^{c_1}}{x}\right ) \\ y(x)\to 0 \\ \end{align*}