4.13 problem 13

Internal problem ID [14171]

Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section: Chapter 2. First Order Equations. Exercises 2.2, page 39
Problem number: 13.
ODE order: 1.
ODE degree: 1.

CAS Maple gives this as type [_quadrature]

\[ \boxed {y^{\prime }+y k=0} \]

Solution by Maple

Time used: 0.0 (sec). Leaf size: 11

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

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

Solution by Mathematica

Time used: 0.025 (sec). Leaf size: 19

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

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