1.9 problem 1(i)

Internal problem ID [2501]

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

CAS Maple gives this as type [_quadrature]

Solve \begin {gather*} \boxed {y^{\prime }+y=0} \end {gather*}

Solution by Maple

Time used: 0.0 (sec). Leaf size: 10

dsolve(diff(y(x),x)+y(x)=0,y(x), singsol=all)
 

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

Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 18

DSolve[y'[x]+y[x]==0,y[x],x,IncludeSingularSolutions -> True]
 

\begin{align*} y(x)\to c_1 e^{-x} \\ y(x)\to 0 \\ \end{align*}