Internal problem ID [3034]
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]
\[ \boxed {y^{\prime }+y \ln \left (x \right )=x^{-x}} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 16
dsolve(diff(y(x),x)+y(x)*ln(x)=x^(-x),y(x), singsol=all)
\[ y \left (x \right ) = \left ({\mathrm e}^{x} c_{1} -1\right ) x^{-x} \]
✓ Solution by Mathematica
Time used: 0.08 (sec). Leaf size: 19
DSolve[y'[x]+y[x]*Log[x]==x^(-x),y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to x^{-x} \left (-1+c_1 e^x\right ) \]