Internal problem ID [14861]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Chapter 4 review exercises, page 219
Problem number: 40.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+16 y=0} \] With initial conditions \begin {align*} [y \left (0\right ) = 0, y^{\prime }\left (0\right ) = -8] \end {align*}
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 10
dsolve([diff(y(t),t$2)+16*y(t)=0,y(0) = 0, D(y)(0) = -8],y(t), singsol=all)
\[ y \left (t \right ) = -2 \sin \left (4 t \right ) \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 11
DSolve[{y''[t]+16*y[t]==0,{y[0]==0,y'[0]==-8}},y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -2 \sin (4 t) \]