Internal problem ID [14677]
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: 2.
ODE order: 4.
ODE degree: 1.
CAS Maple gives this as type [[_high_order, _missing_x]]
\[ \boxed {y^{\prime \prime \prime \prime }-16 y=1} \]
✓ Solution by Maple
Time used: 0.016 (sec). Leaf size: 30
dsolve(diff(y(t),t$4)-16*y(t)=1,y(t), singsol=all)
\[ y \left (t \right ) = -\frac {1}{16}+\cos \left (2 t \right ) c_{1} +c_{2} {\mathrm e}^{-2 t}+c_{3} {\mathrm e}^{2 t}+c_{4} \sin \left (2 t \right ) \]
✓ Solution by Mathematica
Time used: 0.002 (sec). Leaf size: 39
DSolve[y''''[t]-16*y[t]==1,y[t],t,IncludeSingularSolutions -> True]
\[ y(t)\to c_1 e^{2 t}+c_3 e^{-2 t}+c_2 \cos (2 t)+c_4 \sin (2 t)-\frac {1}{16} \]