Internal problem ID [7314]
Book: Own collection of miscellaneous problems
Section: section 5.0
Problem number: 21.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {x^{2} y^{\prime }+{\mathrm e}^{-y}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 15
dsolve(x^2*diff(y(x),x)+exp(-y(x))=0,y(x), singsol=all)
\[ y \left (x \right ) = \ln \left (\frac {-c_{1} x +1}{x}\right ) \]
✓ Solution by Mathematica
Time used: 0.441 (sec). Leaf size: 12
DSolve[x^2*y'[x]+Exp[-y[x]]==0,y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \log \left (\frac {1}{x}+c_1\right ) \]