1.24 problem 24

Internal problem ID [6587]

Book: First order enumerated odes
Section: section 1
Problem number: 24.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {a \sin \relax (x ) y x y^{\prime }=0} \end {gather*}

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 \relax (x ) = 0 \\ y \relax (x ) = c_{1} \\ \end{align*}

Solution by Mathematica

Time used: 0.004 (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*}