Internal problem ID [13333]
Book: Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell.
second edition. CRC Press. FL, USA. 2020
Section: Chapter 4. SEPARABLE FIRST ORDER EQUATIONS. Additional exercises. page
90
Problem number: 4.7 (i).
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: 0.0 (sec). Leaf size: 8
dsolve(diff(y(x),x)=exp(-y(x)),y(x), singsol=all)
\[ y \left (x \right ) = \ln \left (c_{1} +x \right ) \]
✓ Solution by Mathematica
Time used: 0.196 (sec). Leaf size: 10
DSolve[y'[x]==Exp[-y[x]],y[x],x,IncludeSingularSolutions -> True]
\[ y(x)\to \log (x+c_1) \]