1.27 problem 28

Internal problem ID [6318]

Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 28.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {\frac {y^{\prime }}{x}=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 5

dsolve(1/x*diff(y(x),x)=0,y(x), singsol=all)
 

\[ y \relax (x ) = c_{1} \]

Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 7

DSolve[1/x*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

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