Internal problem ID [2957]
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]
Solve \begin {gather*} \boxed {y^{\prime } x +\tan \relax (y)=0} \end {gather*}
✓ 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)
\[ y \relax (x ) = \arcsin \left (\frac {1}{x c_{1}}\right ) \]
✓ Solution by Mathematica
Time used: 15.595 (sec). Leaf size: 19
DSolve[x y'[x]+Tan[y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \text {ArcSin}\left (\frac {e^{c_1}}{x}\right ) \\ y(x)\to 0 \\ \end{align*}