74.1.40 problem 47

Internal problem ID [15820]
Book : INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton. Fourth edition 2014. ElScAe. 2014
Section : Chapter 1. Introduction to Differential Equations. Exercises 1.1, page 10
Problem number : 47
Date solved : Tuesday, January 28, 2025 at 08:08:09 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }+2 y&=0 \end{align*}

With initial conditions

\begin{align*} y \left (0\right )&=2 \end{align*}

✓ Solution by Maple

Time used: 0.004 (sec). Leaf size: 10

dsolve([diff(y(x),x)+2*y(x)=0,y(0) = 2],y(x), singsol=all)
 

\[ y = 2 \,{\mathrm e}^{-2 x} \]

✓ Solution by Mathematica

Time used: 0.023 (sec). Leaf size: 12

DSolve[{D[y[x],x]+2*y[x]==0,{y[0]==2}},y[x],x,IncludeSingularSolutions -> True]
 

\[ y(x)\to 2 e^{-2 x} \]