13.7.4 problem 4

Internal problem ID [2367]
Book : Differential equations and their applications, 3rd ed., M. Braun
Section : Section 2.2, linear equations with constant coefficients. Page 138
Problem number : 4
Date solved : Monday, January 27, 2025 at 05:50:23 AM
CAS classification : [[_2nd_order, _missing_x]]

\begin{align*} 3 y^{\prime \prime }+6 y^{\prime }+3 y&=0 \end{align*}

✓ Solution by Maple

Time used: 0.001 (sec). Leaf size: 14

dsolve(3*diff(y(t),t$2)+6*diff(y(t),t)+3*y(t)=0,y(t), singsol=all)
 

\[ y = {\mathrm e}^{-t} \left (c_2 t +c_1 \right ) \]

✓ Solution by Mathematica

Time used: 0.016 (sec). Leaf size: 18

DSolve[3*D[y[t],{t,2}]+6*D[y[t],t]+3*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
 

\[ y(t)\to e^{-t} (c_2 t+c_1) \]