Internal problem ID [2036]
Book: Differential Equations by Alfred L. Nelson, Karl W. Folley, Max Coral. 3rd ed. DC heath.
Boston. 1964
Section: Exercise 12, page 46
Problem number: 4.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {x \ln \left (x \right ) y^{\prime }+y=x} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 12
dsolve(x*ln(x)*diff(y(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: 0.036 (sec). Leaf size: 14
DSolve[x*Log[x]*y'[x]+(y[x]-x)==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \frac {x+c_1}{\log (x)} \]