Internal problem ID [7340]
Book: First order enumerated odes
Section: section 1
Problem number: 24.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {a \sin \left (x \right ) y x y^{\prime }=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 9
dsolve(a*sin(x)*y(x)*x*diff(y(x),x)=0,y(x), singsol=all)
\begin{align*} y \left (x \right ) &= 0 \\ y \left (x \right ) &= c_{1} \\ \end{align*}
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 12
DSolve[a*Sin[x]*y[x]*x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 0 \\ y(x)\to c_1 \\ \end{align*}