Internal problem ID [5926]
Book: DIFFERENTIAL EQUATIONS with Boundary Value Problems. DENNIS G. ZILL,
WARREN S. WRIGHT, MICHAEL R. CULLEN. Brooks/Cole. Boston, MA. 2013. 8th
edition.
Section: CHAPTER 7 THE LAPLACE TRANSFORM. 7.3.1 TRANSLATION ON THE s-AXIS. Page
297
Problem number: 32.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
Solve \begin {gather*} \boxed {y^{\prime \prime }+8 y^{\prime }+20 y=0} \end {gather*} With initial conditions \begin {align*} [y \relax (0) = 0, y^{\prime }\left (\pi \right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 5
dsolve([diff(y(t),t$2)+8*diff(y(t),t)+20*y(t)=0,y(0) = 0, D(y)(Pi) = 0],y(t), singsol=all)
\[ y \relax (t ) = 0 \]
✓ Solution by Mathematica
Time used: 0.011 (sec). Leaf size: 6
DSolve[{y''[t]+8*y'[t]+20*y[t]==0,{y[0]==0,y'[Pi]==0}},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 0 \\ \end{align*}