Internal problem ID [4938]
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.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [_quadrature]
Solve \begin {gather*} \boxed {y^{\prime }-6 y=0} \end {gather*} With initial conditions \begin {align*} [y \left (-1\right ) = 4] \end {align*}
✓ Solution by Maple
Time used: 0.008 (sec). Leaf size: 12
dsolve([diff(y(t),t)-6*y(t)=0,y(-1) = 4],y(t), singsol=all)
\[ y \relax (t ) = 4 \,{\mathrm e}^{6 t +6} \]
✓ Solution by Mathematica
Time used: 0.023 (sec). Leaf size: 14
DSolve[{y'[t]-6*y[t]==0,{y[-1]==4}},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 4 e^{6 t+6} \\ \end{align*}