Internal problem ID [12870]
Book: DIFFERENTIAL EQUATIONS by Paul Blanchard, Robert L. Devaney, Glen R. Hall. 4th
edition. Brooks/Cole. Boston, USA. 2012
Section: Chapter 1. First-Order Differential Equations. Exercises section 1.2. page
33
Problem number: 9.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
\[ \boxed {y^{\prime }-{\mathrm e}^{-y}=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 8
dsolve(diff(y(t),t)=exp(-y(t)),y(t), singsol=all)
\[ y \left (t \right ) = \ln \left (t +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.369 (sec). Leaf size: 10
DSolve[y'[t]==Exp[-y[t]],y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \log (t+c_1) \]