Internal problem ID [6608]
Book: First order enumerated odes
Section: section 1
Problem number: 45.
ODE order: 1.
ODE degree: 2.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {x \sin \relax (x ) \left (y^{\prime }\right )^{2}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.156 (sec). Leaf size: 5
dsolve(x*sin(x)*diff(y(x),x)^2=0,y(x), singsol=all)
\[ y \relax (x ) = c_{1} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 7
DSolve[x*Sin[x]*y'[x]^2==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \\ \end{align*}