73.18.1 problem 27.1 (a)

Internal problem ID [15585]
Book : Ordinary Differential Equations. An introduction to the fundamentals. Kenneth B. Howell. second edition. CRC Press. FL, USA. 2020
Section : Chapter 27. Differentiation and the Laplace transform. Additional Exercises. page 496
Problem number : 27.1 (a)
Date solved : Tuesday, January 28, 2025 at 08:02:50 AM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }+4 y&=0 \end{align*}

Using Laplace method With initial conditions

\begin{align*} y \left (0\right )&=3 \end{align*}

✓ Solution by Maple

Time used: 8.613 (sec). Leaf size: 10

dsolve([diff(y(t),t)+4*y(t)=0,y(0) = 3],y(t), singsol=all)
 

\[ y = 3 \,{\mathrm e}^{-4 t} \]

✓ Solution by Mathematica

Time used: 0.022 (sec). Leaf size: 12

DSolve[{D[y[t],t]+4*y[t]==0,{y[0]==3}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 3 e^{-4 t} \]