Internal problem ID [14646]
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: 27.
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime \prime }+y^{\prime \prime \prime }=0} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 20
dsolve(diff(y(t),t$4)+diff(y(t),t$3)=0,y(t), singsol=all)
\[ y \left (t \right ) = c_{1} +t c_{2} +c_{3} t^{2}+c_{4} {\mathrm e}^{-t} \]
✓ Solution by Mathematica
Time used: 0.032 (sec). Leaf size: 26
DSolve[y''''[t]+y'''[t]==0,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 \left (-e^{-t}\right )+t (c_4 t+c_3)+c_2 \]