Internal problem ID [553]
Book: Elementary differential equations and boundary value problems, 10th ed., Boyce and
DiPrima
Section: Section 2.6. Page 100
Problem number: 11.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_Abel, 2nd type, class B]]
Solve \begin {gather*} \boxed {x \ln \relax (x )+y x +\left (\ln \relax (x ) y+y x \right ) y^{\prime }=0} \end {gather*}
✗ 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: 0.0 (sec). Leaf size: 0
DSolve[(x*Log[x]+x*y[x])+(y[x]*Log[x]+x*y[x])*y'[x] == 0,y[x],x,IncludeSingularSolutions -> True]
Not solved