Internal problem ID [14487]
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: 14.
ODE order: 2.
ODE degree: 1.
CAS Maple gives this as type [[_2nd_order, _missing_x]]
\[ \boxed {4 y^{\prime \prime }+4 y^{\prime }+y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 14
dsolve(4*diff(y(t),t$2)+4*diff(y(t),t)+y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{-\frac {t}{2}} \left (c_{2} t +c_{1} \right ) \]
✓ Solution by Mathematica
Time used: 0.013 (sec). Leaf size: 20
DSolve[4*y''[t]+4*y'[t]+y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-t/2} (c_2 t+c_1) \]