Internal problem ID [12359]
Book: APPLIED DIFFERENTIAL EQUATIONS The Primary Course by Vladimir A.
Dobrushkin. CRC Press 2015
Section: Chapter 6. Introduction to Systems of ODEs. Problems page 408
Problem number: Problem 2(d).
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }+3 y^{\prime \prime }+3 y^{\prime }+y=5} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(t),t$3)+3*diff(y(t),t$2)+3*diff(y(t),t)+y(t)=5,y(t), singsol=all)
\[ y \left (t \right ) = 5+\left (c_{3} t^{2}+c_{2} t +c_{1} \right ) {\mathrm e}^{-t} \]
✓ Solution by Mathematica
Time used: 0.005 (sec). Leaf size: 28
DSolve[y'''[t]+3*y''[t]+3*y'[t]+y[t]==5,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-t} \left (5 e^t+t (c_3 t+c_2)+c_1\right ) \]