56.1.24 problem 25

Internal problem ID [8736]
Book : Own collection of miscellaneous problems
Section : section 1.0
Problem number : 25
Date solved : Monday, January 27, 2025 at 04:45:57 PM
CAS classification : [_quadrature]

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

✓ Solution by Maple

Time used: 0.002 (sec). Leaf size: 11

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

\begin{align*} y &= -x \\ y &= c_{1} \\ \end{align*}

✓ Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 14

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

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