Internal problem ID [11353]
Book: A First Course in Differential Equations by J. David Logan. Third Edition. Springer-Verlag,
NY. 2015.
Section: Chapter 1, First order differential equations. Section 1.1 First order equations. Exercises
page 10
Problem number: 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {x^{\prime }-{\mathrm e}^{-x}=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 8
dsolve(diff(x(t),t)=exp(-x(t)),x(t), singsol=all)
\[ x \left (t \right ) = \ln \left (t +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.394 (sec). Leaf size: 10
DSolve[x'[t]==Exp[-x[t]],x[t],t,IncludeSingularSolutions -> True]
\[ x(t)\to \log (t+c_1) \]