Internal problem ID [2840]
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 2.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }+y=8 \,{\mathrm e}^{3 t}} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 2.703 (sec). Leaf size: 10
dsolve([diff(y(t),t)+y(t)=8*exp(3*t),y(0) = 2],y(t), singsol=all)
\[ y \left (t \right ) = 2 \,{\mathrm e}^{3 t} \]
✓ Solution by Mathematica
Time used: 0.051 (sec). Leaf size: 12
DSolve[{y'[t]+y[t]==8*Exp[3*t],{y[0]==2}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 2 e^{3 t} \]