57.1.25 problem 25

Internal problem ID [9009]
Book : First order enumerated odes
Section : section 1
Problem number : 25
Date solved : Monday, January 27, 2025 at 05:27:09 PM
CAS classification : [_quadrature]

\begin{align*} f \left (x \right ) \sin \left (x \right ) y x y^{\prime } \pi &=0 \end{align*}

✓ Solution by Maple

Time used: 0.002 (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 &= 0 \\ y &= c_{1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.004 (sec). Leaf size: 12

DSolve[f(x)*Sin[x]*y[x]*x*D[y[x],x]*Pi==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to 0 \\ y(x)\to c_1 \\ \end{align*}