Internal problem ID [2493]
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]
Solve \begin {gather*} \boxed {y^{\prime }-{\mathrm e}^{-x}=0} \end {gather*}
✓ Solution by Maple
Time used: 0.002 (sec). Leaf size: 12
dsolve(diff(y(x),x)=exp(-x),y(x), singsol=all)
\[ y \relax (x ) = -{\mathrm e}^{-x}+c_{1} \]
✓ Solution by Mathematica
Time used: 0.004 (sec). Leaf size: 14
DSolve[y'[x]==Exp[-x],y[x],x,IncludeSingularSolutions -> True]
\begin{align*} y(x)\to \sinh (x)-\cosh (x)+c_1 \\ \end{align*}