Internal problem ID [2330]
Book: Differential equations and linear algebra, Stephen W. Goode and Scott A Annin. Fourth edition,
2015
Section: Chapter 10, The Laplace Transform and Some Elementary Applications. Exercises for 10.4.
page 689
Problem number: Problem 1.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, class A]]
Solve \begin {gather*} \boxed {y^{\prime }-2 y-6 \,{\mathrm e}^{5 t}=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 3] \end {align*}
✓ Solution by Maple
Time used: 0.012 (sec). Leaf size: 17
dsolve([diff(y(t),t)-2*y(t)=6*exp(5*t),y(0) = 3],y(t), singsol=all)
\[ y \relax (t ) = 2 \,{\mathrm e}^{2 t} {\mathrm e}^{3 t}+{\mathrm e}^{2 t} \]
✓ Solution by Mathematica
Time used: 0.046 (sec). Leaf size: 18
DSolve[{y'[t]-2*y[t]==6*Exp[5*t],{y[0]==3}},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to e^{2 t}+2 e^{5 t} \\ \end{align*}