Internal problem ID [6605]
Book: First order enumerated odes
Section: section 1
Problem number: 42.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {x y \sin \relax (x ) y^{\prime }=0} \end {gather*}
✓ Solution by Maple
Time used: 0.001 (sec). Leaf size: 9
dsolve(x*y(x)*sin(x)*diff(y(x),x)=0,y(x), singsol=all)
\begin{align*} y \relax (x ) = 0 \\ y \relax (x ) = c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 12
DSolve[x*y[x]*Sin[x]*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 0 \\ y(x)\to c_1 \\ \end{align*}