Internal problem ID [14647]
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: 28.
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime \prime }-9 y^{\prime \prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 21
dsolve(diff(y(t),t$4)-9*diff(y(t),t$2)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} +t c_{2} +c_{3} {\mathrm e}^{-3 t}+c_{4} {\mathrm e}^{3 t} \]
✓ Solution by Mathematica
Time used: 0.036 (sec). Leaf size: 32
DSolve[y''''[t]-9*y''[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to \frac {1}{9} e^{-3 t} \left (c_1 e^{6 t}+c_2\right )+c_4 t+c_3 \]