Internal problem ID [2848]
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 10.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }-3 y^{\prime }+2 y=4} \] With initial conditions \begin {align*} [y \left (0\right ) = 0, y^{\prime }\left (0\right ) = 1] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 16
dsolve([diff(y(t),t$2)-3*diff(y(t),t)+2*y(t)=4,y(0) = 0, D(y)(0) = 1],y(t), singsol=all)
\[ y \left (t \right ) = 3 \,{\mathrm e}^{2 t}-5 \,{\mathrm e}^{t}+2 \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 19
DSolve[{y''[t]-3*y'[t]+2*y[t]==4,{y[0]==0,y'[0]==1}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -5 e^t+3 e^{2 t}+2 \]