Internal problem ID [14644]
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: 25.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-5 y^{\prime }+2 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 32
dsolve(diff(y(t),t$3)-5*diff(y(t),t)+2*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} {\mathrm e}^{2 t}+c_{2} {\mathrm e}^{\left (\sqrt {2}-1\right ) t}+c_{3} {\mathrm e}^{-\left (1+\sqrt {2}\right ) t} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 43
DSolve[y'''[t]-5*y'[t]+2*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 e^{-\left (\left (1+\sqrt {2}\right ) t\right )}+c_2 e^{\left (\sqrt {2}-1\right ) t}+c_3 e^{2 t} \]