Internal problem ID [3136]
Book: An introduction to the solution and applications of differential equations, J.W. Searl,
1966
Section: Chapter 4, Ex. 4.1
Problem number: 3.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime } \ln \left (x \right )+\frac {y+x}{x}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(ln(x)*diff(y(x),x)+(x+y(x))/x=0,y(x), singsol=all)
\[ y \left (x \right ) = \frac {c_{1} -x}{\ln \left (x \right )} \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 16
DSolve[Log[x]*y'[x]+(x+y[x])/x==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {-x+c_1}{\log (x)} \]