Internal problem ID [14670]
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: 58.
ODE order: 3.
ODE degree: 1.
CAS Maple gives this as type [[_3rd_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime }+9 y^{\prime \prime }+16 y^{\prime }-26 y=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 24
dsolve(diff(y(t),t$3)+9*diff(y(t),t$2)+16*diff(y(t),t)-26*y(t)=0,y(t), singsol=all)
\[ y \left (t \right ) = \left ({\mathrm e}^{6 t} c_{1} +\sin \left (t \right ) c_{2} +\cos \left (t \right ) c_{3} \right ) {\mathrm e}^{-5 t} \]
✓ Solution by Mathematica
Time used: 0.003 (sec). Leaf size: 30
DSolve[y'''[t]+9*y''[t]+16*y'[t]-26*y[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to e^{-5 t} \left (c_3 e^{6 t}+c_2 \cos (t)+c_1 \sin (t)\right ) \]