Internal problem ID [1894]
Book: Differential Equations, Nelson, Folley, Coral, 3rd ed, 1964
Section: Exercis 5, page 21
Problem number: 25.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{y}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.032 (sec). Leaf size: 12
dsolve([diff(y(x),x)=exp(y(x)),y(0) = 0],y(x), singsol=all)
\[ y \relax (x ) = -\ln \left (1-x \right ) \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 13
DSolve[{y'[x]==Exp[y[x]],y[0]==0},y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\log (1-x) \\ \end{align*}