Internal problem ID [6317]
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]
Solve \begin {gather*} \boxed {\frac {y^{\prime }}{x +y}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 5
dsolve(1/(x+y(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])*y'[x]==0,y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to c_1 \\ \end{align*}