Internal problem ID [14480]
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: 7.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {8 y^{\prime \prime }+6 y^{\prime }+y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(8*diff(y(t),t$2)+6*diff(y(t),t)+y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} {\mathrm e}^{-\frac {t}{4}}+c_{2} {\mathrm e}^{-\frac {t}{2}} \]
✓ Solution by Mathematica
Time used: 0.014 (sec). Leaf size: 26
DSolve[8*y''[t]+6*y'[t]+y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-t/2} \left (c_1 e^{t/4}+c_2\right ) \]