Internal problem ID [14507]
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: 35.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+4 y^{\prime }+20 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 22
dsolve(diff(y(t),t$2)+4*diff(y(t),t)+20*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{-2 t} \left (c_{1} \sin \left (4 t \right )+c_{2} \cos \left (4 t \right )\right ) \]
✓ Solution by Mathematica
Time used: 0.017 (sec). Leaf size: 26
DSolve[y''[t]+4*y'[t]+20*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-2 t} (c_2 \cos (4 t)+c_1 \sin (4 t)) \]