56.1.25 problem 26

Internal problem ID [8737]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 26
Date solved : Monday, January 27, 2025 at 04:45:58 PM
CAS classification : [_quadrature]

\begin{align*} x y^{\prime }&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 5

dsolve(x*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y = c_{1} \]

✓ Solution by Mathematica

Time used: 0.002 (sec). Leaf size: 7

DSolve[x*D[y[x],x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to c_1 \]