Internal problem ID [6588]
Book: First order enumerated odes
Section: section 1
Problem number: 25.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {f \relax (x ) \sin \relax (x ) y x y^{\prime } \pi =0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 9
dsolve(f(x)*sin(x)*y(x)*x*diff(y(x),x)*Pi=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[f(x)*Sin[x]*y[x]*x*y'[x]*Pi==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to 0 \\ y(x)\to c_1 \\ \end{align*}