10.5.11 problem 11

Internal problem ID [1203]
Book : Elementary differential equations and boundary value problems, 10th ed., Boyce and DiPrima
Section : Section 2.6. Page 100
Problem number : 11
Date solved : Monday, January 27, 2025 at 04:44:56 AM
CAS classification : [[_Abel, `2nd type`, `class B`]]

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

✗ Solution by Maple

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

\[ \text {No solution found} \]

✗ Solution by Mathematica

Time used: 0.000 (sec). Leaf size: 0

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

Not solved