Internal problem ID [2843]
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 5.
ODE order: 1.
ODE degree: 1.
CAS Maple gives this as type [[_linear, `class A`]]
\[ \boxed {y^{\prime }-y=6 \cos \left (t \right )} \] With initial conditions \begin {align*} [y \left (0\right ) = 2] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve([diff(y(t),t)-y(t)=6*cos(t),y(0) = 2],y(t), singsol=all)
\[ y \left (t \right ) = 3 \sin \left (t \right )-3 \cos \left (t \right )+5 \,{\mathrm e}^{t} \]
✓ Solution by Mathematica
Time used: 0.051 (sec). Leaf size: 19
DSolve[{y'[t]-y[t]==6*Cos[t],{y[0]==2}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to 5 e^t+3 \sin (t)-3 \cos (t) \]