73.3.35 problem 4.7 (i)

Internal problem ID [15069]
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)
Date solved : Tuesday, January 28, 2025 at 07:29:34 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }&={\mathrm e}^{-y} \end{align*}

✓ Solution by Maple

Time used: 0.005 (sec). Leaf size: 8

dsolve(diff(y(x),x)=exp(-y(x)),y(x), singsol=all)
 

\[ y = \ln \left (x +c_{1} \right ) \]

✓ Solution by Mathematica

Time used: 0.225 (sec). Leaf size: 10

DSolve[D[y[x],x]==Exp[-y[x]],y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to \log (x+c_1) \]