Internal problem ID [1703]
Book: Differential equations and their applications, 3rd ed., M. Braun
Section: Section 1.10. Page 80
Problem number: 10.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [y=_G(x,y')]
Solve \begin {gather*} \boxed {y^{\prime }-y-{\mathrm e}^{-y}-{\mathrm e}^{-t}=0} \end {gather*}
✗ Solution by Maple
dsolve(diff(y(t),t)= y(t)+exp(-y(t))+exp(-t),y(t), singsol=all)
\[ \text {No solution found} \]
✗ Solution by Mathematica
Time used: 0.0 (sec). Leaf size: 0
DSolve[y'[t]== y[t]+Exp[-y[t]]+Exp[-t],y[t],t,IncludeSingularSolutions -> True]
Not solved