Internal problem ID [3465]
Book: Ordinary differential equations and their solutions. By George Moseley Murphy.
1960
Section: Various 8
Problem number: 209.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {x y^{\prime }+\tan \left (y\right )=0} \]
✓ Solution by Maple
Time used: 0.016 (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: 14.286 (sec). Leaf size: 19
DSolve[x y'[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*}