39.5.1 problem Problem 24.17

Internal problem ID [6543]
Book : Schaums Outline Differential Equations, 4th edition. Bronson and Costa. McGraw Hill 2014
Section : Chapter 24. Solutions of linear DE by Laplace transforms. Supplementary Problems. page 248
Problem number : Problem 24.17
Date solved : Monday, January 27, 2025 at 02:12:03 PM
CAS classification : [_quadrature]

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

Using Laplace method With initial conditions

\begin{align*} y \left (0\right )&=1 \end{align*}

✓ Solution by Maple

Time used: 0.158 (sec). Leaf size: 8

dsolve([diff(y(x),x)+2*y(x)=0,y(0) = 1],y(x), singsol=all)
 

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

✓ Solution by Mathematica

Time used: 0.024 (sec). Leaf size: 10

DSolve[{D[y[x],x]+2*y[x]==0,{y[0]==1}},y[x],x,IncludeSingularSolutions -> True]
 

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