Internal problem ID [2525]
Book: Elementary Differential equations, Chaundy, 1969
Section: Exercises 3, page 60
Problem number: 1(f).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_linear]
\[ \boxed {y^{\prime }+\ln \left (x \right ) y-x^{-x}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(x),x)+y(x)*ln(x)=x^(-x),y(x), singsol=all)
\[ y \left (x \right ) = -x^{-x}+x^{-x} {\mathrm e}^{x} c_{1} \]
✓ Solution by Mathematica
Time used: 0.071 (sec). Leaf size: 19
DSolve[y'[x]+y[x]*Log[x]==x^(-x),y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to x^{-x} \left (-1+c_1 e^x\right ) \\ \end{align*}