Internal problem ID [14643]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.5, page 175
Problem number: 24.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {6 y^{\prime \prime \prime }-5 y^{\prime \prime }-2 y^{\prime }+y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(6*diff(y(t),t$3)-5*diff(y(t),t$2)-2*diff(y(t),t)+y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \left (c_{3} {\mathrm e}^{\frac {3 t}{2}}+c_{2} {\mathrm e}^{\frac {5 t}{6}}+c_{1} \right ) {\mathrm e}^{-\frac {t}{2}} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 32
DSolve[6*y'''[t]-5*y''[t]-2*y'[t]+y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 e^{t/3}+c_2 e^{-t/2}+c_3 e^t \]