Internal problem ID [2440]
Book: Elementary Differential Equations, Martin, Reissner, 2nd ed, 1961
Section: Exercis 2, page 5
Problem number: 3(c).
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
\[ \boxed {y^{\prime }+x \,{\mathrm e}^{y}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 16
dsolve(diff(y(x),x)=-x*exp(y(x)),y(x), singsol=all)
\[ y \left (x \right ) = \ln \left (\frac {2}{x^{2}+2 c_{1}}\right ) \]
✓ Solution by Mathematica
Time used: 0.307 (sec). Leaf size: 19
DSolve[y'[x]==-x*Exp[y[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \log (2)-\log \left (x^2-2 c_1\right ) \]