1.26 problem 27

Internal problem ID [6316]

Book: Own collection of miscellaneous problems
Section: section 1.0
Problem number: 27.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {\frac {y^{\prime }}{x +y}=0} \]

Solution by Maple

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

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

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

Solution by Mathematica

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

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

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