Internal problem ID [14483]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.2, page 147
Problem number: 10.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+8 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(diff(y(t),t$2)+8*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} \sin \left (2 \sqrt {2}\, t \right )+c_{2} \cos \left (2 \sqrt {2}\, t \right ) \]
✓ Solution by Mathematica
Time used: 0.018 (sec). Leaf size: 30
DSolve[y''[t]+8*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 \cos \left (2 \sqrt {2} t\right )+c_2 \sin \left (2 \sqrt {2} t\right ) \]