Internal problem ID [6629]
Book: First order enumerated odes
Section: section 1
Problem number: 66.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_separable]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{x +y}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 13
dsolve(diff(y(x),x)=exp(x+y(x)),y(x), singsol=all)
\[ y \relax (x ) = \ln \left (-\frac {1}{{\mathrm e}^{x}+c_{1}}\right ) \]
✓ Solution by Mathematica
Time used: 1.262 (sec). Leaf size: 18
DSolve[y'[x]==Exp[x+y[x]],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to -\log \left (-e^x-c_1\right ) \\ \end{align*}