74.4.13 problem 13

Internal problem ID [15906]
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
Date solved : Tuesday, January 28, 2025 at 08:18:16 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }+k y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.003 (sec). Leaf size: 11

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

\[ y = c_{1} {\mathrm e}^{-k x} \]

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 19

DSolve[D[y[x],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*}