Internal problem ID [14641]
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: 22.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }-2 y^{\prime \prime }-y^{\prime }+2 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(t),t$3)-2*diff(y(t),t$2)-diff(y(t),t)+2*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = {\mathrm e}^{-t} c_{1} +c_{2} {\mathrm e}^{t}+c_{3} {\mathrm e}^{2 t} \]
✓ Solution by Mathematica
Time used: 0.009 (sec). Leaf size: 28
DSolve[y'''[t]-2*y''[t]-y'[t]+2*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 e^{-t}+c_2 e^t+c_3 e^{2 t} \]