Internal problem ID [14642]
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: 23.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {3 y^{\prime \prime \prime }-4 y^{\prime \prime }-5 y^{\prime }+2 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 23
dsolve(3*diff(y(t),t$3)-4*diff(y(t),t$2)-5*diff(y(t),t)+2*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \left (c_{3} {\mathrm e}^{3 t}+{\mathrm e}^{\frac {4 t}{3}} c_{1} +c_{2} \right ) {\mathrm e}^{-t} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 32
DSolve[3*y'''[t]-4*y''[t]-5*y'[t]+2*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-t} \left (c_1 e^{4 t/3}+c_3 e^{3 t}+c_2\right ) \]