Internal problem ID [14454]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.1, page 141
Problem number: 20.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {y^{\prime \prime }+10 y^{\prime }+24 y=0} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 17
dsolve(diff(y(t),t$2)+10*diff(y(t),t)+24*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} {\mathrm e}^{-6 t}+c_{2} {\mathrm e}^{-4 t} \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 22
DSolve[y''[t]+10*y'[t]+24*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-6 t} \left (c_2 e^{2 t}+c_1\right ) \]