1.1 problem 1(a)

Internal problem ID [3002]

Book: Theory and solutions of Ordinary Differential equations, Donald Greenspan, 1960
Section: Exercises, page 14
Problem number: 1(a).
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }={\mathrm e}^{-x}} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 12

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

\[ y \left (x \right ) = -{\mathrm e}^{-x}+c_{1} \]

Solution by Mathematica

Time used: 0.003 (sec). Leaf size: 15

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

\[ y(x)\to -e^{-x}+c_1 \]