Internal problem ID [14699]
Book: INTRODUCTORY DIFFERENTIAL EQUATIONS. Martha L. Abell, James P. Braselton.
Fourth edition 2014. ElScAe. 2014
Section: Chapter 4. Higher Order Equations. Exercises 4.6, page 187
Problem number: 24.
ODE order: 6.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _missing_x]]
\[ \boxed {y^{\left (6\right )}+y^{\prime \prime \prime \prime }=-24} \]
✓ Solution by Maple
Time used: 0.0 (sec). Leaf size: 34
dsolve(diff(y(t),t$6)+diff(y(t),t$4)=-24,y(t), singsol=all)
\[ y \left (t \right ) = \frac {c_{3} t^{3}}{6}-t^{4}+\frac {c_{4} t^{2}}{2}+\cos \left (t \right ) c_{1} +\sin \left (t \right ) c_{2} +c_{5} t +c_{6} \]
✓ Solution by Mathematica
Time used: 0.149 (sec). Leaf size: 39
DSolve[y''''''[t]+y''''[t]==-24,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to -t^4+c_6 t^3+c_5 t^2+c_4 t+c_1 \cos (t)+c_2 \sin (t)+c_3 \]