Internal problem ID [10935]
Book: APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A. Dobrushkin.
CRC Press 2015
Section: Chapter 5.5 Laplace transform. Homogeneous equations. Problems page 357
Problem number: Problem 2.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+9 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 2, y^{\prime }\left (0\right ) = 0] \end {align*}
✓ Solution by Maple
Time used: 0.015 (sec). Leaf size: 10
dsolve([diff(y(t),t$2)+9*y(t)=0,y(0) = 2, D(y)(0) = 0],y(t), singsol=all)
\[ y \left (t \right ) = 2 \cos \left (3 t \right ) \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 11
DSolve[{y''[t]+9*y[t]==0,{y[0]==2,y'[0]==0}},y[t],t,IncludeSingularSolutions -> True]
\begin{align*} y(t)\to 2 \cos (3 t) \\ \end{align*}