Internal problem ID [14485]
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: 12.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {4 y^{\prime \prime }+21 y^{\prime }+5 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 17
dsolve(4*diff(y(t),t$2)+21*diff(y(t),t)+5*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} {\mathrm e}^{-\frac {t}{4}}+c_{2} {\mathrm e}^{-5 t} \]
✓ Solution by Mathematica
Time used: 0.022 (sec). Leaf size: 35
DSolve[y''[t]+21*y'[t]+5*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-\frac {1}{2} \left (21+\sqrt {421}\right ) t} \left (c_2 e^{\sqrt {421} t}+c_1\right ) \]