46.6.13 problem 13

Internal problem ID [7359]
Book : ADVANCED ENGINEERING MATHEMATICS. ERWIN KREYSZIG, HERBERT KREYSZIG, EDWARD J. NORMINTON. 10th edition. John Wiley USA. 2011
Section : Chapter 6. Laplace Transforms. Problem set 6.2, page 216
Problem number : 13
Date solved : Monday, January 27, 2025 at 02:50:57 PM
CAS classification : [_quadrature]

\begin{align*} y^{\prime }-6 y&=0 \end{align*}

Using Laplace method With initial conditions

\begin{align*} y \left (-1\right )&=4 \end{align*}

✓ Solution by Maple

Time used: 0.199 (sec). Leaf size: 12

dsolve([diff(y(t),t)-6*y(t)=0,y(-1) = 4],y(t), singsol=all)
 

\[ y = 4 \,{\mathrm e}^{6 t +6} \]

✓ Solution by Mathematica

Time used: 0.027 (sec). Leaf size: 14

DSolve[{D[y[t],t]-6*y[t]==0,{y[-1]==4}},y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to 4 e^{6 t+6} \]